331313312001 has 32 divisors (see below), whose sum is σ = 536380524288. Its totient is φ = 177577113600.

The previous prime is 331313311997. The next prime is 331313312009. The reversal of 331313312001 is 100213313133.

It is not a de Polignac number, because 331313312001 - 2² = 331313311997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (331313312009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479100 + ... + 1688301.

It is an arithmetic number, because the mean of its divisors is an integer number (16761891384).

Almost surely, 2^331313312001 is an apocalyptic number.

It is an amenable number.

331313312001 is a deficient number, since it is larger than the sum of its proper divisors (205067212287).

331313312001 is a wasteful number, since it uses less digits than its factorization.

331313312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167721.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 331313312001 its reverse (100213313133), we get a palindrome (431526625134).

The spelling of 331313312001 in words is "three hundred thirty-one billion, three hundred thirteen million, three hundred twelve thousand, one".