This is unique to Blender and as far as I know, cannot be changed. .
Blender uses the right hand coordinate system with the Z axis pointing
upwards. This is common with the coordinate systems used by most
common 3D CAD packages.
Another reasoning for this is that a common convention for real world applications for engineering and science is that X and Y axes define a flat ground plane while the Z axis defines up and down
However, if you work between these software that you mention above, one way you could maintain consistency is to export the object(s) as a
.fbx (or any other similar format, most if not all exporters in Blender have this option) to the other application with the 'up' axis being Z etc.