Massive asteroids — including one the size of the Empire State Building — are predicted to make “close” encounters with Earth in the coming weeks, with one set to whiz by as early as Wednesday night.

The space rock “2004 UE,” which at 1,246 feet is only a few feet shorter than the Midtown skyscraper, will be 2.6 million miles away on Nov. 13.

Of the asteroids headed our way, “1996 VB3” — which has a diameter of about 750 feet — is expected to come closest to Earth, at a distance of only 2.1 million miles, according to NASA’s Center for Near-Earth Objects.