The Batman of the planet Zur-En-Arrh modeled himself after the Batman of the planet Earth. He first appeared in Batman #113 in February 1958 in the story entitled "Batman - The Superman of Planet X!" (written by France Herron, Pencils by Dick Sprang and Inks by Charles Paris. In his secret-identity of scientist Tlano, Batman monitored the Batman of Earth with a super telescope. Zur-En-Arrh has technology far advanced of Earth and the telescope capable of seeing people on other planets is but one of it's advanced machines. Zur-En-Arrh, "located in a star system far from Earth", also has teleportation machines which can transfer people over interstellar distances, futurist cars and jets, and ray-guns which shoot destructive "ray-bullets."
Batman operates out of his own Bat-Cave, filled with futuristic crime-fighting equipment. He uses a Batmobile with an atomic-powered motor and a Bat-Jet. His Bat-Radia "issues electronic molecules that cause controlled disturbances in the atmosphere" which can "jam atmospheric molecules." He receives Bat-Signals on a tele-view screen and has a ray-gun.
For all it's science, Zur-En-Arrh was invaded by an enemy planet with superior weapons, causing the world's Batman to teleport Earth's Batman to the planet for assistance. The elements in people on Earth make the super-powerful on Zur-En-Arrh, with the weaker gravity even allowing an Earth person to fly.