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13137611521 is a prime number
BaseRepresentation
bin11000011110001000…
…00000101100000001
31020220120201210222111
430033010000230001
5203401212032041
610011344335321
7643363566256
oct141704005401
936816653874
1013137611521
115631925a91
122667914541
131314a53b38
148c8b4b42d
1551d585981
hex30f100b01

13137611521 has 2 divisors, whose sum is σ = 13137611522. Its totient is φ = 13137611520.

The previous prime is 13137611519. The next prime is 13137611563. The reversal of 13137611521 is 12511673131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11845927921 + 1291683600 = 108839^2 + 35940^2 .

It is an emirp because it is prime and its reverse (12511673131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13137611521 - 21 = 13137611519 is a prime.

Together with 13137611519, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13137621521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568805760 + 6568805761.

It is an arithmetic number, because the mean of its divisors is an integer number (6568805761).

Almost surely, 213137611521 is an apocalyptic number.

It is an amenable number.

13137611521 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137611521 is an equidigital number, since it uses as much as digits as its factorization.

13137611521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 31.

The spelling of 13137611521 in words is "thirteen billion, one hundred thirty-seven million, six hundred eleven thousand, five hundred twenty-one".