313131013 has 4 divisors (see below), whose sum is σ = 337218028. Its totient is φ = 289044000.

The previous prime is 313130989. The next prime is 313131017. The reversal of 313131013 is 310131313.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310131313 = 1063 ⋅291751.

It can be written as a sum of positive squares in 2 ways, for example, as 94031809 + 219099204 = 9697^2 + 14802^2 .

It is a cyclic number.

It is not a de Polignac number, because 313131013 - 2¹⁷ = 312999941 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 (313131017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12043488 + ... + 12043513.

It is an arithmetic number, because the mean of its divisors is an integer number (84304507).

Almost surely, 2^313131013 is an apocalyptic number.

It is an amenable number.

313131013 is a deficient number, since it is larger than the sum of its proper divisors (24087015).

313131013 is a wasteful number, since it uses less digits than its factorization.

313131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24087014.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 313131013 is about 17695.5082718751. The cubic root of 313131013 is about 679.0608524742.

Adding to 313131013 its reverse (310131313), we get a palindrome (623262326).

The spelling of 313131013 in words is "three hundred thirteen million, one hundred thirty-one thousand, thirteen".