3201310013213 has 16 divisors (see below), whose sum is σ = 3607548534576. Its totient is φ = 2820940162560.

The previous prime is 3201310013201. The next prime is 3201310013219. The reversal of 3201310013213 is 3123100131023.

It can be written as a sum of positive squares in 8 ways, for example, as 727603882009 + 2473706131204 = 852997^2 + 1572802^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3201310013213 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 (3201310013219) 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, 62762528 + ... + 62813513.

It is an arithmetic number, because the mean of its divisors is an integer number (225471783411).

Almost surely, 2^{3201310013213} is an apocalyptic number.

It is an amenable number.

3201310013213 is a deficient number, since it is larger than the sum of its proper divisors (406238521363).

3201310013213 is a wasteful number, since it uses less digits than its factorization.

3201310013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125576144.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3201310013213 its reverse (3123100131023), we get a palindrome (6324410144236).

The spelling of 3201310013213 in words is "three trillion, two hundred one billion, three hundred ten million, thirteen thousand, two hundred thirteen".