It is not associated with any real surface. An object which passes inside of the Schwarzschild Radius can never escape since a velocity greater than the speed of light is required to do so. Well outside the Schwarzschild Radius the influence of a black hole is no different than for any other source of gravity. If the Sun were replaced by a black hole of equal mass the planets, which lie well outside the Schwarzschild radius , would continue in their orbits as if nothing had happened. Although Black Holes emit no light, matter falling toward the Black Hole will be heated by friction before it passes the Schwarzschild Radius.
Nature forms many double stars.
If one star in a binary system becomes a black hole, the other can expand in size later in life and dump material onto the black hole. Several systems are known where the mass of the compact companion exceeds 3M .