3131331313 has 16 divisors (see below), whose sum is σ = 3455105472. Its totient is φ = 2814264000.

The previous prime is 3131331283. The next prime is 3131331323.

3131331313 is nontrivially palindromic in base 10.

3131331313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3131331313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131331323) 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, 339898 + ... + 348988.

It is an arithmetic number, because the mean of its divisors is an integer number (215944092).

Almost surely, 2^3131331313 is an apocalyptic number.

It is an amenable number.

3131331313 is a deficient number, since it is larger than the sum of its proper divisors (323774159).

3131331313 is a wasteful number, since it uses less digits than its factorization.

3131331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456.

The product of its digits is 729, while the sum is 22.

The square root of 3131331313 is about 55958.2997686670. The cubic root of 3131331313 is about 1462.9955562045.

It can be divided in two parts, 31313 and 31313, that added together give a palindrome (62626).

The spelling of 3131331313 in words is "three billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred thirteen".