331013667100400 has 30 divisors (see below), whose sum is σ = 795260335209672. Its totient is φ = 132405466840000.

The previous prime is 331013667100343. The next prime is 331013667100427. The reversal of 331013667100400 is 4001766310133.

It is a happy number.

It is a super-3 number, since 3×331013667100400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 413767083476 + ... + 413767084275.

Almost surely, 2^{331013667100400} is an apocalyptic number.

It is an amenable number.

331013667100400 is an abundant number, since it is smaller than the sum of its proper divisors (464246668109272).

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

331013667100400 is a wasteful number, since it uses less digits than its factorization.

331013667100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827534167769 (or 827534167758 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 331013667100400 in words is "three hundred thirty-one trillion, thirteen billion, six hundred sixty-seven million, one hundred thousand, four hundred".