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13137087967 is a prime number
BaseRepresentation
bin11000011110000100…
…00000110111011111
31020220112202012210121
430033002000313133
5203401043303332
610011325215411
7643356256003
oct141702006737
936815665717
1013137087967
1156315a86a3
122667701567
1313148cc743
148c8a52703
1551d4d0797
hex30f080ddf

13137087967 has 2 divisors, whose sum is σ = 13137087968. Its totient is φ = 13137087966.

The previous prime is 13137087959. The next prime is 13137087979. The reversal of 13137087967 is 76978073131.

13137087967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13137087967 - 23 = 13137087959 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13137087937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568543983 + 6568543984.

It is an arithmetic number, because the mean of its divisors is an integer number (6568543984).

Almost surely, 213137087967 is an apocalyptic number.

13137087967 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137087967 is an equidigital number, since it uses as much as digits as its factorization.

13137087967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1333584, while the sum is 52.

The spelling of 13137087967 in words is "thirteen billion, one hundred thirty-seven million, eighty-seven thousand, nine hundred sixty-seven".