Hot water tank is hot but no hot water is coming out of any faucet

A pump problem then, not a city water issue.

problem is there is an RV for your system. you will need to do the following.
Drain all holding tanks, fresh water and sewage

1. Attach garden hose to fresh water fill and fill tank.
2. Turn on pump switch and open cold water side of all faucet/ shower fixtures. Leave open until water runs clear. Repeat for hot water side.
3. Flush toilet until clear water runs into bowl.
4. Dump tanks again.
5. Sanitize water system. use a water sanitizer
6. If a water filter is installed, drain lines, remove filter assembly, clean and reinstall with new filter.
7. When ready to use the water heater, turn by-pass valve to open position to allow water to enter and fill the hot water heater tank.

Typically, when your unit is winterized, the tanks and hot water are emptied; at least they should have been. What you need to do is connect a hose like you would to use fresh water and open the valve. Then go to reach faucet in your unit and open them, one at a time until the pink fluid goes clear and then wait another 10-15 seconds before closing. Once all faucets, shower and toilet have been purged of anti freeze, Make Sure the bypass on the hot water heater is opened to let water fill the tank before you turn on the power, for electric, to prevent burning up the heating element. Once all is done, you should be able to do the valve to have water directed into your fresh water tank. For future reference, the drain hose will be at a low point, under the belly with a valve. If the lever is online with the drain hose/tube, the line is open. Make sure the lever is perpendicular (90 degrees) to the line to be closed so you can fill the fresh water tank.

Go to an RV parts store for a winterizing bypass kit for the water heater. Use POTABLE RV antifreeze and follow the instructions on the bottle. Drain all the water out of the water tank. Install the bypass kit on the water heater if it doesn't already have one. Put the water heater in the bypass mode. Add the antifreeze to the water tank. Open every water faucet including the shower head one at a time until antifreeze is present. Do this for hot and cold on every faucet. Once that is done, turn off the water pump and open all the faucets. That's all there is to it. Rember... DO NOT use automotive antifreeze. It will kill you.

ok, been a while so lets ee if I can get this all down.

1 - Drain water from your holding tank and remove drain plug in hot water heater. Drain holding tanks ( Waste )
2- turn on bypass for hot water heater ( instruction if needed )
3 - Get yourself some winterizing fluid ( can't remember exact name ) from your local Dealer . 2 or 3 gallons should be good
4- Poor this fluid into your water rez tank. All of it
5 - now go around to EVERY tap in your trailer ( one at a time ) and turn on cold water until water runs pink ( or what ever colour fluid you bought ) Close faucet them do the same for hot water tap. Repeat this at every faucet. Even the ones outside if you have any.
6 Don't forget to flush toilet in water runs pink.
7. Ensure all gas vales have been turned off ( tank vales included )

If you did everything right you should be good to go.

Plz double this list to make sure I covered everything

Greetings and good health to you.
Ok, so I'm guessing by low you mean quantity and not temp, correct?
Does the cold water sputter as well? If so, most likely bad pump but we'll go with it just being the hot water for now.
Does the hot water act the same way on the other sink faucets? If not, the hot water is flowing freely without sputter, the problem will most likely be in the tub's hot water valve (knob) or the shower attachment. You can replace these rather easily.
If your hot water is low in quantity and sputtering only on the hot, then your hot water tank is not getting enough water to it which will cause it to be "low" and sputter as there isn't any water in there to pull from. If this is the case, we need to figure out what is causing the hot water tank to not have water in it.
Your pump is obviously working as you are only having issues with the hot water. Since using the hot water would normally use what hot water is sitting in the tank and thus pull in fresh water to heat up as the hot water exits. This would be the case if you are using the on board water storage and not hooked up to a hose for your water supply.
So, if this is the case, we need to find out where/why the water is not drawing in from the water storage to the hot water tank. First off, locate both tanks and make sure there isn't a valve on the water line that may be turned off or almost off. Check those water lines for any breakage or leaks. If not, if there are two lines coming out of the water storage, one for the cold and the other for the hot, see if you can notice anything in the water tank that may be blocking the "hot" line.
If all that is well, lets look at the water heater itself. I'm guess you would have noticed if this was leaking which is why I waited until now to bring it up. If you go outside and open the panel, does it look like it could have been leaking? Look at the plug (this is where your heating element is located) at the bottom center of the tank. Does it feel damp or can you see streaks going down from there? If unsure, hook up your hose to the water intake and turn it on. Watch the tank from the outside and see if it starts leaking. If it does, bad plug (heating element) easy and cheap to replace.
Once you see there is no leaking coming from the hot water tank, lets take out the heating element to make sure it is filling up. First shut off the water flow. You'll need a large adjustable wrench or if you happen to have that big of a socket, go for it. Remove the element. Water should start coming out as you unscrew it. Once you remove the element, water should flow freely out until empty.
Now, with the plug out, turn the water back on and see if it flows out of the tank. This will show flow is good up to this point.
Ok, so if there are no leaks thus far and the hot water tank is filling up when you hook up a hose, then we need to look and the connection line going from the tank to the rest of the faucets. Put the plug back in. Turn the water on again and follow the lines from the tank to the faucets looking for leaks.
Once you do all this, you should have an idea of what is happening where and possibly how to fix it.
Let me know how it turns out.

Pull bottom plug out of hot water heater tank let all water drain. Then open all water tank drain valves and be sure your RV is tilted so it will drain towards the valve. Go in RV access water heater valves put it in bypass so no antifreeze can enter water heater tank. Pump RV antifreeze with hose provided into all water lines throughout RV by turning on your main water pump after you have stuck the bypass hose in a new and full antifreeze bottle, then flush toilet until red antifreeze comes out. Open all faucets one at a time until red antifreeze comes out. I use 3 gal but some only use one, the more the better it’s cheap at Walmart. Don’t forget to run outside shower until red antifreeze comes out also, very important or it will crack in the cold. Finally make sure black and grey tanks are empty and flushed at your last camp trip before winterizing. Pour antifreeze in toilet and all drains making sure first that black and grey tank shut off valves are pushed in and closed. Get a quality cover and store RV, it makes a huge difference on protecting roof and roofs lap sealant! All RV antifreeze is non toxic and you just drain it all at your first camp stop after winter! Note: don’t forget to put water heater ionizer drain plug back in wrapped with new white Teflon tape and take water heater valves out of bypass! Draw a diagram of regular mode and winter bypass mode so you don’t forget especially hot and cold water heater blender valve between the two MUST be shut off after you unwinterize
or you will cool your hot water unwanted and have no hot water to use! Happy Camping folks!

If you don't have a hot water heater winterizing bypass kit installed,get one before going any further.
Next, drain the water out of the hot water tank. Add POTABLE (not automotive) anti freeze to the water system Run run faucets one at a time both hot and cold, toilet and shower head until you see the anti freeze . Next, shut off the water pump and open the faucets. This saves any chance of cracked water lines. When you want to use the trailer again, close the bypass valves on the hot eater tank and run the pump long enough to remove the antifreeze solution from the system. Fill the water tank and run the faucets for a few minutes. Potable antifreeze won't make you sick so there's no worry if you don't get it all out of the system.

At the back of the water heater there will be a series of valves. One on the bottom, sometimes one on the top and then one in a line that connects the top to the bottom lines. Make sure the middle valve is closed and the top and bottom valves are open. If there is not a valve on the top that can be manually opened and closed then there is a check valve installed. This check valve will allow the hot water out of the tank but will prevent the back flow of cold water during the winterization bypass. If the valve on top is closed it will not allow hot water out. If the middle valve is opened it will allow the cold water to mix with hot water and defeat the purpose having a water heater. Close the middle open the top and bottom. If there is not one on top then the check valve is probably clogged or has failed and need to be cleaned or replaced.

You don't need to find the water pump. Make sure your water tank is empty before adding RV winterizer to the water tank. Run each faucet in the RV with bypass valve NOT in winterize position until you see the antifreeze begin to come out of the faucet. Do this for both cold and hot water side for each faucet. Then move bypass valve to winterize position and run for a few seconds.