The Br of a magnet is the remenance in a closed magnetic circuit when the magnetising field is removed. This is the 13kgauss figure that you are quoting.
On open circuit, the field you get at the surface of a magnet depends on the shape of the magnet and really means nothing. Your measured figure seems fairly reasonable and you will find that it drops rapidly as you move away from the surface.
The demagnetising curve for neo is a straight line and if you build a closed iron circuit for your magnet and just leave an air gap large enough to get your probe in then it will come up near to the Br figure, but you will never quite get there as you need a gap for the probe.
Flux