13130037 has 24 divisors (see below), whose sum is σ = 19593600. Its totient is φ = 8468928.

The previous prime is 13130027. The next prime is 13130053. The reversal of 13130037 is 73003131.

It is not a de Polignac number, because 13130037 - 2¹⁶ = 13064501 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130027) 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, 41793 + ... + 42105.

It is an arithmetic number, because the mean of its divisors is an integer number (816400).

Almost surely, 2^13130037 is an apocalyptic number.

It is an amenable number.

13130037 is a deficient number, since it is larger than the sum of its proper divisors (6463563).

13130037 is a wasteful number, since it uses less digits than its factorization.

13130037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 13130037 is about 3623.5392919078. The cubic root of 13130037 is about 235.9148704258.

Adding to 13130037 its reverse (73003131), we get a palindrome (86133168).

It can be divided in two parts, 1313003 and 7, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 13130037 in words is "thirteen million, one hundred thirty thousand, thirty-seven".