Any container that's not a standard aquarium needs to be food safe. (Many goldfish keepers use plastic bins, although I don't.)
My online calculator shows 130 liters equals roughly 34 US gallons. That's the smallest size I'd use.
Not sure why you want carbon in your filter.
Now, for the sake of the hypothetical discussion - let's say your container aquarium cycles properly and is a smashing success. (I'm assuming you mean to mean to do FW
tropical. If not, I'm sure there will be many saltwater tank owners who will try real hard to talk you out of this.)
So you go buy a proper fish tank. Then what? I don't think you will be able to transfer everything out of your plastic bin into your aquarium and call it good.
Could you get a little more detailed with your plan?