13265137 has 2 divisors, whose sum is σ = 13265138. Its totient is φ = 13265136.

The previous prime is 13265123. The next prime is 13265149. The reversal of 13265137 is 73156231.

13265137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9790641 + 3474496 = 3129^2 + 1864^2 .

It is an emirp because it is prime and its reverse (73156231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13265137 - 2⁷ = 13265009 is a prime.

It is equal to p₈₆₅₃₅₁ and since 13265137 and 865351 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13265437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6632568 + 6632569.

It is an arithmetic number, because the mean of its divisors is an integer number (6632569).

Almost surely, 2^13265137 is an apocalyptic number.

It is an amenable number.

13265137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13265137 is an equidigital number, since it uses as much as digits as its factorization.

13265137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3780, while the sum is 28.

The square root of 13265137 is about 3642.1335780007. The cubic root of 13265137 is about 236.7212506073.

The spelling of 13265137 in words is "thirteen million, two hundred sixty-five thousand, one hundred thirty-seven".