To expand this, they also use the 6B13.
It's configuration is similar to the body armor you might see on a US Marine in Iraq, such as the Interceptor Body Armor, however, the 6B13 lacks the groin patch that we have. They are similar in look and design, in that the majority of the armor is made out of Kevlar or other fabrics. For the vital areas, both have hard plates, both being hard Ceramics (although older Russian armors used titanium for hard protection). As Vlad said, they weigh a shit load, 10 kg for the 6B13, however, compared to the newest version of the Interceptor (which is designed to protect against IEDs), which weighs, 15 kg, the 6B13 is relatively light.
Protection wise, they both over the same protection levels, NIJ standard of Level IV (which means "Conditioned armor protects against 10.8 g (166 gr) .30-06 Springfield M2 armor piercing (AP) bullets at a velocity of 878 m/s ± 9.1 m/s (2880 ft/s ± 30 ft/s). It also provides at least single hit protection against the threats mentioned in [Types I, IIA, II, IIIA, and III].")
However, if you're in Russia, they will tell you that the 6B13 system is level VI according to GOST R 50744-95 Ballistic Standard. If you are unfamiliar to the standard, look here. Basically, to qualify for Level VI under the GOST standard, the vest must be shot with a 7.62 x 54mm round (I'd assume an Armor Piercing round as a bullet from a SVD is also used to qualify for Class IV GOST protection level) from a SVD, which has equivalent performance to the .30-06 Springfield AP rounds used for NIJ class IV testing, which basically means Class IV NIJ = Class VI GOST.
As for the "Standardness" of this, or "If I walked into a Russian army base, how many Ivan or Sergies are going to be wearing this" level, I wouldn't say too much, as some other Russian military guys I've known on other forums have told me that the upgrading process is slow. But as this year progress and Russia's major upgrade program is underway, you can only expect to see more Russian Army boys to be wearing the 6B13 or any of it's successors. Personally, I've seen quite a couple pictures showing Russian solders wearing the 6B13 in their duties.
For more information on the 6B13 and other armors, go here.
Expanding on myself, according to RIAN, they are currently testing a new body armor, which unlike the 6B13, weighs 5 kg more. Here.
"The 15-kilo full set has the highest protection level and can be used in assaults. A lighter version weighs under two kilos and can be worn under clothes. The price of this bulletproof vest is about $1,000, which is two to three times higher than average."
I'm not an idiot, but I'm also not a genius. I've heard around the internets of a 6B5-14 all the way up to a 6B5-19. As for Dragon Skin, yeah,