Need help with my wall climbing robot.

I want to use this motor for a wall climbing robot using suction.
Radio Control Planes, Drones, Cars, FPV, Quadcopters and more - Hobbyking The specifications are given in the link. I need to make the robot as light as possible so I need help in choosing the smallest possible battery to provide 11.1 V power. Any ideas? Is a 3S LiPo battery a good option?

Li-Po technology is a good way to get a lot of power in a small package, but to choose a specific battery you need to specify the voltage, the average current, and how long you want the battery to provide that current from a full change. If you've got any other constraints such as cost, size you need to know what they are too.