3131441313 has 64 divisors (see below), whose sum is σ = 5757652992. Its totient is φ = 1460954880.

The previous prime is 3131441303. The next prime is 3131441353.

3131441313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3131441313 - 2⁶ = 3131441249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131441303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97020 + ... + 125202.

It is an arithmetic number, because the mean of its divisors is an integer number (89963328).

Almost surely, 2^3131441313 is an apocalyptic number.

3131441313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3131441313 is a deficient number, since it is larger than the sum of its proper divisors (2626211679).

3131441313 is a wasteful number, since it uses less digits than its factorization.

3131441313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28254.

The product of its digits is 1296, while the sum is 24.

The square root of 3131441313 is about 55959.2826347872. The cubic root of 3131441313 is about 1463.0126871104.

It can be divided in two parts, 31314 and 41313, that added together give a palindrome (72627).

The spelling of 3131441313 in words is "three billion, one hundred thirty-one million, four hundred forty-one thousand, three hundred thirteen".