This marks Rihanna's third consecutive number one following last year's (11) Talk That Talk and 2010's Loud. Madonna is the only other female artist to achieve the same feat.
One Direction's Take Me Home drops to two, Little Mix's Dna enters at three, Led Zeppelin's Celebration Day premieres at four, and Michael Buble's Christmas rounds out the top five.
In the U.K. singles chart, Olly Murs and Flo Rida's collaboration Troublemaker debuts in first place, while Something New by Girls Aloud slides into second.
One Direction's Little Things falls two spots to number three, Beneath Your Beautiful by Labrinth and Emeli Sande remains at four, and Alicia Keys' Girl On Fire is new at five.