3131313333013 has 8 divisors (see below), whose sum is σ = 3165594715800. Its totient is φ = 3097132927488.

The previous prime is 3131313332993. The next prime is 3131313333017. The reversal of 3131313333013 is 3103333131313.

It can be written as a sum of positive squares in 4 ways, for example, as 1227360426769 + 1903952906244 = 1107863^2 + 1379838^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3131313333013 - 2¹⁷ = 3131313201941 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 (3131313333017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25181956 + ... + 25305997.

It is an arithmetic number, because the mean of its divisors is an integer number (395699339475).

Almost surely, 2^{3131313333013} is an apocalyptic number.

It is an amenable number.

3131313333013 is a deficient number, since it is larger than the sum of its proper divisors (34281382787).

3131313333013 is a wasteful number, since it uses less digits than its factorization.

3131313333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50488631.

The product of its (nonzero) digits is 6561, while the sum is 28.

Adding to 3131313333013 its reverse (3103333131313), we get a palindrome (6234646464326).

The spelling of 3131313333013 in words is "three trillion, one hundred thirty-one billion, three hundred thirteen million, three hundred thirty-three thousand, thirteen".