13137007 has 16 divisors (see below), whose sum is σ = 14586880. Its totient is φ = 11757312.

The previous prime is 13136957. The next prime is 13137011. The reversal of 13137007 is 70073131.

It is a cyclic number.

It is not a de Polignac number, because 13137007 - 2¹¹ = 13134959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103378 + ... + 103504.

It is an arithmetic number, because the mean of its divisors is an integer number (911680).

Almost surely, 2^13137007 is an apocalyptic number.

13137007 is a deficient number, since it is larger than the sum of its proper divisors (1449873).

13137007 is a wasteful number, since it uses less digits than its factorization.

13137007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 441, while the sum is 22.

The square root of 13137007 is about 3624.5009311628. The cubic root of 13137007 is about 235.9566076977.

The spelling of 13137007 in words is "thirteen million, one hundred thirty-seven thousand, seven".