My iphone 5 won't start. How to make it work?

So I left my phone at around 20% last night. I put it under my pillow and went to sleep. When I woke up this morning at 6AM, the battery was around 2% and it was really hot. So I put it back and went to sleep again. When I woke up at around 8AM, it's dead and hot. So I went and charged it. The charging sign won't come out so I tried turning it on to at least see the "need-to-charge" sign. It doesn't show. So I tried a different charger and it still doesn't work. I've tried to press the home button and sleep button simultaneously for more than 10 seconds and nothing happens

Take it to the apple store.

It is probably really hot because you put it under your pillow. It isn't really safe to put your phone under the pillow when you go to sleep because they can over heat. But my suggestion would be to take it back to where you got it and see if they can do anything.

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