Can install GSam battery monitor for free. Nice to see battery info in the drop down notification screen and will tell you how hot the battery is. People can have different "opinions" on the definition of hot but this way will give you an actual number. Under heavy use my device gets to 97 degree F. Believe that is the highest i've seen it get so far. Will try and play some dead trigger 2 for a solid 15min or so and check battery temp, that will get it high if anything else would!
I can say though coming from an HTC One X+ with overclocked Tegra 3 chip, that phone got up to 120 degrees F, that is freaking hot! Not a bunk device, just made with poor design as the Tegra 3 chip was never made for mobile devices, especially overclocked. Got in over my head with that device!