Welcome to iMore! What kind of work are you doing? Resource-intensive tasks like video editing and gaming tend to heat up any computer and might also explain the heavy battery drain. You should notice a difference between this type of work and simpler tasks like word processing or surfing the Internet.
Another thing that can make it hot is using it on something that will prevent the heat from dissipating from the surface. Make sure you have it resting on a smooth, flat surface when using it. Particularly if you're doing intensive activity like @DevilishBanker mentioned.