As long as the devices in the power strip do not exceed the current of this outlet, you can. This unit is rated at 15 Amps, which is the normal limit on most homes. You usually see electric heaters rated at 1500 watts, which is 125 volts multiplied by 12 Amps because electric units that are designed to run long term must be 20% below 15 Amps (12).
Not really a good idea. They aren't meant for a lot of Watts. They fit nicely INTO a power strip though. I have a couple in the one power strip by my Bay Window so they can control different lights. If you want to control a whole power strip it's better to buy one designed for that purpose. They do have them.