31313330013 has 128 divisors (see below), whose sum is σ = 54195609600. Its totient is φ = 15663808512.

The previous prime is 31313329909. The next prime is 31313330017. The reversal of 31313330013 is 31003331313.

It is not a de Polignac number, because 31313330013 - 2⁹ = 31313329501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313330017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52804645 + ... + 52805237.

It is an arithmetic number, because the mean of its divisors is an integer number (423403200).

Almost surely, 2^31313330013 is an apocalyptic number.

It is an amenable number.

31313330013 is a deficient number, since it is larger than the sum of its proper divisors (22882279587).

31313330013 is a wasteful number, since it uses less digits than its factorization.

31313330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 31313330013 its reverse (31003331313), we get a palindrome (62316661326).

The spelling of 31313330013 in words is "thirty-one billion, three hundred thirteen million, three hundred thirty thousand, thirteen".