The torpedoes can carry nuclear warheads and have an unlimited range.
With a speed of about 70 knots and capable of reaching depths of 1000 metres, they cannot be countered with current weapons, reports say.
The Belgorod is also planned to become a mothership for potential clandestine Russian strikes against key western underwater internet cables.
It will act as a host vessel or for its deep diving mini submarines equipped with robotic arms that could tamper with or cut vital cabling.
The Russian navy has been carrying out sea trials on the Belgorod in the White Sea over past days.
Russian military chiefs said the submarine will be part of the navy s Pacific fleet but it could be deployed in other regions of the world.
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