His principality included Samtskhe, Adjara, Shavsheti, Klarjeti, Lazia (Chaneti), Tao, Kola, Artaani and most of Javakheti.

His realm stretched from Tashiskari (modern Khashuri District) to Karnu-kalaki (now Erzurum) and the Black Sea.

Despite being independent, Samtskhe still maintained some kind of relations with Georgia and Beka himself was given a title of Mandaturukhutsesi (the elder - first in rank - Mandator) by Georgian king.

Another daughter of Beka, - Natela, became the consort of Demetrius II of Georgia and bore him a son and the successor to the throne.

After the execution of his father Demetrius by Mongols, future king George V was raised by his grandfather at his court.