Why is the neutral pin hotter than the live pin?
I just had one of those last week.  The plug was hot, and the socket was hotter. I'm the electrical guy so I popped it off. #12 stranded wire shoved into a smaller #14 backstab hole. Two thirds of the strands had missed the hole!   

Dumb things like that happen all the time, and you have to nip 'em in the bud the moment you see them.  

Don't use this outlet until it's fixed.  It probably feeds thru to other outlets on the same circuit, so check this outlet while using those.  Get it fixed ASAP. 

If I had used the next outlet over, I would've never found it. It can start a fire. (We use steel junction boxes, that helps.)