331004400133 has 8 divisors (see below), whose sum is σ = 361157326560. Its totient is φ = 300861743280.

The previous prime is 331004400073. The next prime is 331004400149.

It is a happy number.

331004400133 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331004400133 - 2²⁵ = 330970845701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331004400193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2499918 + ... + 2628991.

It is an arithmetic number, because the mean of its divisors is an integer number (45144665820).

Almost surely, 2^331004400133 is an apocalyptic number.

It is an amenable number.

331004400133 is a deficient number, since it is larger than the sum of its proper divisors (30152926427).

331004400133 is a wasteful number, since it uses less digits than its factorization.

331004400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134787.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 331004 and 400133, that added together give a palindrome (731137).

The spelling of 331004400133 in words is "three hundred thirty-one billion, four million, four hundred thousand, one hundred thirty-three".