331120040021133 has 64 divisors (see below), whose sum is σ = 490468874436864. Its totient is φ = 198671108064000.

The previous prime is 331120040021093. The next prime is 331120040021161.

331120040021133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331120040021133 - 2²⁰ = 331120038972557 is a prime.

It is a super-2 number, since 2×331120040021133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331120040021933) 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 63 ways as a sum of consecutive naturals, for example, 4418843935 + ... + 4418918867.

It is an arithmetic number, because the mean of its divisors is an integer number (7663576163076).

Almost surely, 2^{331120040021133} is an apocalyptic number.

331120040021133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331120040021133 is a deficient number, since it is larger than the sum of its proper divisors (159348834415731).

331120040021133 is a wasteful number, since it uses less digits than its factorization.

331120040021133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86027 (or 86005 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 331120040021133 in words is "three hundred thirty-one trillion, one hundred twenty billion, forty million, twenty-one thousand, one hundred thirty-three".