Land isn't really a issue, before we get to the fact that we could put them on pluto without much problem.Robots who can work 24/7 does not equal enough infrastructure for 13 million people. And you have not yet answered where they are getting all the land from. As colonists they surely have the means to set up their own infrastructure. They need land, and mines and so on. Basically, they need to conquer a country and evict or kill its population.
The highest population density on earth is 20,497 people per square kilometer. At that rate, we could host all 13 million of them on 634 square kilometers of land, or a area 14 kilometers in radius. There are a lot of places on earth that can spare that, especially since we can place them in places otherwise uninhabited, like teh Sahara, or the Siberian Tundra.
As for infrastructure, the beauty about robots, is that we can make more. For the first few months, we would focus on increasing our productivity. Supposing each robot would take about a day to gather the resources to make another, and a another day to assemble said resources into a robot, that would lead to a doubling of manufacturing capability every two days. 40 days, would have us a robotic force a million strong. A extra 20 would get it into the billions. We just need a jump start on it.
Since we would be focusing on manufacturing capability first, rather than infrastructure, we can just as easily make either Infrastructure and a army at the same time.Also, I shudder to think of the consequences of spending all of our output on building infrastructure to gift them rather than weapons to stand up to them. That would end up very very very poorly for us.
Of course. My point was, despite being a large force, they weren't equipped to be a invasion force, they do not have nearly the fire-power one would have. That does not make them a non-threat, just not as great of one.@Trondason did we even bother trying to see if she was lying? IDK if we can take what she said at face value. But the latter part tells us they're now here to conquer/wipe us out.
I say we make the means to completely take them out. If they try to surrender after completely neutering them, then we can consider it.