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13137973601 is a prime number
BaseRepresentation
bin11000011110001010…
…11001000101100001
31020220121102012122212
430033011121011201
5203401310123401
610011400211505
7643366635014
oct141705310541
936817365585
1013137973601
115632053025
122667a69b95
131314b4c89c
148c8c0337b
1551d607dbb
hex30f159161

13137973601 has 2 divisors, whose sum is σ = 13137973602. Its totient is φ = 13137973600.

The previous prime is 13137973517. The next prime is 13137973603. The reversal of 13137973601 is 10637973131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12901552225 + 236421376 = 113585^2 + 15376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13137973601 is a prime.

Together with 13137973603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13137973603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568986800 + 6568986801.

It is an arithmetic number, because the mean of its divisors is an integer number (6568986801).

Almost surely, 213137973601 is an apocalyptic number.

It is an amenable number.

13137973601 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137973601 is an equidigital number, since it uses as much as digits as its factorization.

13137973601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71442, while the sum is 41.

The spelling of 13137973601 in words is "thirteen billion, one hundred thirty-seven million, nine hundred seventy-three thousand, six hundred one".