3131300031313 has 16 divisors (see below), whose sum is σ = 3353082956496. Its totient is φ = 2913881886720.

The previous prime is 3131300031271. The next prime is 3131300031331.

3131300031313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 118131752209 + 3013168279104 = 343703^2 + 1735848^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131300031313 - 2¹³ = 3131300023121 is a prime.

It is a super-2 number, since 2×3131300031313² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131300031383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2408856 + ... + 3473497.

It is an arithmetic number, because the mean of its divisors is an integer number (209567684781).

Almost surely, 2^{3131300031313} is an apocalyptic number.

It is an amenable number.

3131300031313 is a deficient number, since it is larger than the sum of its proper divisors (221782925183).

3131300031313 is a wasteful number, since it uses less digits than its factorization.

3131300031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882724.

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

Multiplying 3131300031313 by its sum of digits (22), we get a palindrome (68888600688886).

It can be divided in two parts, 31313000 and 31313, that added together give a palindrome (31344313).

The spelling of 3131300031313 in words is "three trillion, one hundred thirty-one billion, three hundred million, thirty-one thousand, three hundred thirteen".