iPhone 11 Pro Max will not turn on, and back camera area is hot

My iPhone 11 Pro Max will not turn on. I fell gently with it in my back pocket but nothing extreme/hard enough, the screen is perfectly fine, no cracks. Since I have had it it randomly turns off but cuts back on within five minutes. This time, tt has been about two hours and nothing. I thought maybe it was the fall, but now I am wondering since I gently fell and the screen is not at all cracked. It has been hot the whole time. Screen is pitch black. Any one know what could be wrong or maybe experienced a similar problem? I hope I do not have to spend $400 to get it repaired!!!