My iPhone 13 started heating while in charging sometimes it’s get hot even after a long use.

I am not aware of the ambient temperature in which you are using the iPhone. However --> Keeping iPhone, iPad, and iPod touch within acceptable ...

Store the device where the temperature is between -20º and 45º C (-4º to 113º F). Don’t leave the device in your car, because temperatures in parked cars can exceed this range.

Use iOS devices where the ambient temperature is between 0º and 35º C (32º to 95º F). Low- or high-temperature conditions might cause the device to change its behavior to regulate its temperature. Using an iOS device in very cold conditions outside of its operating range might temporarily shorten battery life and could cause the device to turn off. Battery life will return to normal when you bring the device back to higher ambient temperatures. Using an iOS device in very hot conditions can permanently shorten battery life.

I had a similar issue on my iPhone 12 Pro

I set it up as a new iPhone.

Waited... There is no heating issue.

Conclusion.:

• This does not suggest any hardware issue!
• This is also not an iOS issue
• Some Apps or iPhone storage may be heating up the device.
• This is not the iPhone Cover or Charging able issue as I had used the same cover and cable before and after setup as new.

Action Plan:

• I will now slowly get my all data/app back one by one.
• Using the elimination process I will try to find out which app or settings were causing this...

It has been many months since then I have got back 70% of my apps and the heating issue has not returned.

Probably the rogue apps were not used now.