12331133000301 has 64 divisors (see below), whose sum is σ = 17649353779200. Its totient is φ = 7642746752256.

The previous prime is 12331133000299. The next prime is 12331133000321. The reversal of 12331133000301 is 10300033113321.

It is not a de Polignac number, because 12331133000301 - 2¹ = 12331133000299 is a prime.

It is a super-2 number, since 2×12331133000301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331133000321) 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, 539431810 + ... + 539454668.

It is an arithmetic number, because the mean of its divisors is an integer number (275771152800).

Almost surely, 2^{12331133000301} is an apocalyptic number.

It is an amenable number.

12331133000301 is a deficient number, since it is larger than the sum of its proper divisors (5318220778899).

12331133000301 is a wasteful number, since it uses less digits than its factorization.

12331133000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24658.

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

Adding to 12331133000301 its reverse (10300033113321), we get a palindrome (22631166113622).

The spelling of 12331133000301 in words is "twelve trillion, three hundred thirty-one billion, one hundred thirty-three million, three hundred one", and thus it is an aban number.