3131270721313 has 16 divisors (see below), whose sum is σ = 3645976417920. Its totient is φ = 2633578531200.

The previous prime is 3131270721289. The next prime is 3131270721349.

3131270721313 is nontrivially palindromic in base 10.

3131270721313 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 not a de Polignac number, because 3131270721313 - 2⁹ = 3131270720801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3131270721373) 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, 6783748 + ... + 7230613.

It is an arithmetic number, because the mean of its divisors is an integer number (227873526120).

Almost surely, 2^{3131270721313} is an apocalyptic number.

It is an amenable number.

3131270721313 is a deficient number, since it is larger than the sum of its proper divisors (514705696607).

3131270721313 is a wasteful number, since it uses less digits than its factorization.

3131270721313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14014968.

The product of its (nonzero) digits is 15876, while the sum is 34.

It can be divided in two parts, 3131270 and 721313, that added together give a palindrome (3852583).

The spelling of 3131270721313 in words is "three trillion, one hundred thirty-one billion, two hundred seventy million, seven hundred twenty-one thousand, three hundred thirteen".