My iPhone 5 is losing memory?

My iPhone has been acting up lately. My storage became full, so I started deleted text messages, app history, music, reminders, and even some apps I don't use as much anymore. It did nothing for me. I have all 13.2 gigs taken up, but when going to settings>general>usage and adding up all my GB and MB taken, it adds up to 2GB. I literally have 2 gigs worth of stuff on my phone, but it says I have no storage. When i plug my phone into the computer it says the other 10GB is taken up by "other". It literally makes no sense whatsoever. Does anyone know what I can do? I think I will eventually go to the AT&T store and see what they can do, but for now I'm trying to figure it out without spending money.

Back up your phone to icloud then restore it and restore the back up to the phone

Backup your data with dropbox

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