what is up with this phone

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http://forums.androidcentral.com – Just got the s4 and I conditioned it. Lasted me some good hours until recently. I have been struggling to get 13 hours of battery. I have spent around 3 hours on screen some with lte some with wifi but mostly wifi by a large margin. Yesterday I went out on a walk and I have cell wifi on switching between lte and 4g, playing spotify. My phone completely tanked in battery for a 45 minute trip with my phone just playing music while in my pocket. The phone overheated a crap ton like while on my walk I felt it through the case and pants. It usually overheats after use when I charge it though. What (HowTos)