1313185137 has 16 divisors (see below), whose sum is σ = 1911799488. Its totient is φ = 795156480.

The previous prime is 1313185129. The next prime is 1313185147. The reversal of 1313185137 is 7315813131.

It is not a de Polignac number, because 1313185137 - 2³ = 1313185129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1313185098 and 1313185107.

It is not an unprimeable number, because it can be changed into a prime (1313185117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20793 + ... + 55305.

It is an arithmetic number, because the mean of its divisors is an integer number (119487468).

Almost surely, 2^1313185137 is an apocalyptic number.

It is an amenable number.

1313185137 is a deficient number, since it is larger than the sum of its proper divisors (598614351).

1313185137 is a wasteful number, since it uses less digits than its factorization.

1313185137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35680.

The product of its digits is 7560, while the sum is 33.

The square root of 1313185137 is about 36237.8964207361. The cubic root of 1313185137 is about 1095.0702642512.

Adding to 1313185137 its reverse (7315813131), we get a palindrome (8628998268).

The spelling of 1313185137 in words is "one billion, three hundred thirteen million, one hundred eighty-five thousand, one hundred thirty-seven".