"Intrinsic" and "property" are closely related. A thing's properties are intrinsic to the thing. "Intrinsic properties" would be redundant.Mass is just mass - intrinsic has no meaning as in "intrinsic mass"
What would it be intrinsic to?
That would be a different property called "phase". All phases can have the same mass.Different types of mass???? Sure. I knew of 4 - Solid - Liquid - Gas - Plasma