13129137 has 24 divisors (see below), whose sum is σ = 21781760. Its totient is φ = 7464960.

The previous prime is 13129111. The next prime is 13129201. The reversal of 13129137 is 73192131.

It is not a de Polignac number, because 13129137 - 2⁶ = 13129073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13129137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13129537) 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 in 23 ways as a sum of consecutive naturals, for example, 16689 + ... + 17457.

Almost surely, 2^13129137 is an apocalyptic number.

It is an amenable number.

13129137 is a deficient number, since it is larger than the sum of its proper divisors (8652623).

13129137 is a wasteful number, since it uses less digits than its factorization.

13129137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 13129137 is about 3623.4151018066. The cubic root of 13129137 is about 235.9094800314.

It can be divided in two parts, 131291 and 37, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 13129137 in words is "thirteen million, one hundred twenty-nine thousand, one hundred thirty-seven".