331310002013 has 32 divisors (see below), whose sum is σ = 361221949440. Its totient is φ = 302862792960.

The previous prime is 331310002003. The next prime is 331310002019. The reversal of 331310002013 is 310200013133.

It is a cyclic number.

It is not a de Polignac number, because 331310002013 - 2³⁴ = 314130132829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331310001982 and 331310002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331310002019) 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 31 ways as a sum of consecutive naturals, for example, 20153045 + ... + 20169477.

It is an arithmetic number, because the mean of its divisors is an integer number (11288185920).

Almost surely, 2^331310002013 is an apocalyptic number.

It is an amenable number.

331310002013 is a deficient number, since it is larger than the sum of its proper divisors (29911947427).

331310002013 is a wasteful number, since it uses less digits than its factorization.

331310002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 331310002013 its reverse (310200013133), we get a palindrome (641510015146).

The spelling of 331310002013 in words is "three hundred thirty-one billion, three hundred ten million, two thousand, thirteen".