Iphone 4s fast battery drain and hot?

So I just recently got my old iphone 4s back. I've been using another phone cause I left the country. So now that I'm back I got my numbers transferred over my phone to my old iphone. I had icloud on my itunes places all the apps back onto my iphone 4s. So today is the first day that I've been using my iphone and the battery is draining crazy fast. I've only been using twitter and after an hour I went from 90% battery to 50 %. And the iphone is really hot. I read online and it seems like I should turn off all my notifications. I did that but it didn't seem to work. I'm thinking of just completely restarting my iphone to factory settings, but I'm not sure. What do you guys think?

Battery went bad. Gotta replace the battery.

You can take it to a kiosk at the mall or do it yourself. You can buy the kit from eBay or Amazon for like 6 bucks.

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