331001310013002 has 48 divisors (see below), whose sum is σ = 718526500735680. Its totient is φ = 110125085112000.

The previous prime is 331001310012797. The next prime is 331001310013007. The reversal of 331001310013002 is 200310013100133.

It is a happy number.

331001310013002 is a `hidden beast` number, since 331 + 0 + 0 + 1 + 31 + 0 + 0 + 1 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331001310013007) 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 23 ways as a sum of consecutive naturals, for example, 44017749 + ... + 50985927.

It is an arithmetic number, because the mean of its divisors is an integer number (14969302098660).

Almost surely, 2^{331001310013002} is an apocalyptic number.

331001310013002 is an abundant number, since it is smaller than the sum of its proper divisors (387525190722678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331001310013002 is a wasteful number, since it uses less digits than its factorization.

331001310013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973179 (or 6973176 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331001310013002 its reverse (200310013100133), we get a palindrome (531311323113135).

The spelling of 331001310013002 in words is "three hundred thirty-one trillion, one billion, three hundred ten million, thirteen thousand, two".