3137887313 has 36 divisors (see below), whose sum is σ = 3600121140. Its totient is φ = 2731734720.

The previous prime is 3137887283. The next prime is 3137887339.

3137887313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2224820224 + 913067089 = 47168^2 + 30217^2 .

It is not a de Polignac number, because 3137887313 - 2²⁸ = 2869451857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3137887343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28787903 + ... + 28788011.

It is an arithmetic number, because the mean of its divisors is an integer number (100003365).

Almost surely, 2^3137887313 is an apocalyptic number.

It is an amenable number.

3137887313 is a deficient number, since it is larger than the sum of its proper divisors (462233827).

3137887313 is a wasteful number, since it uses less digits than its factorization.

3137887313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 240 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 3137887313 is about 56016.8484743653. The cubic root of 3137887313 is about 1464.0158584248.

The spelling of 3137887313 in words is "three billion, one hundred thirty-seven million, eight hundred eighty-seven thousand, three hundred thirteen".