In that case Blackwater/XE would be classified as paramilitary when it's not. What do you make of the previous responses?
Blackwater, KBR, XE, Gurkha international at el would be considered Private Military Contractor. They are neither paramilitary nor military, the reason behind this is they are not volunteer defence organisation, they are a "Paid-for-service" which make it corporate.
The concept of Paramilitary is quite a bit complicated, and I can actually write an article about it, but as I see most of th answer above is about either training and equipment, then they are quite honestly all wrong.
For example, in a civil war, force on both side on a civil war would be paramilitary, even tho if one side is a government force (or more correctly, former government force) and have navy ship, jet or the whole lot. The reason is, since a government does not exit during civil war, if both side decided to wear distinctive uniform, both side would considered as a paramilitary force instead of others. But if both side decided to not wear distinctive uniform, then both side will become irregular force and will not be cover in Geneva Convention.
Another example is that the US do have a paramilitary, but they are not the US National Guard. National Guard are administered by National Guard Bureau, which is a federal agency. The paramilitary force in the US is local state defender, or State Guard. Which run separately with the National Guard, but they are formed and funded by state entity.
Below is a photo of Georgia State Guardsmen in the mix of some Georgia National Guardsmen
Notice the person in your far right wear a slightly different uniform with Georgia in the name tape instead of US Army on it of the other guardsmen?