12333100133321 has 16 divisors (see below), whose sum is σ = 14060564305920. Its totient is φ = 10708160952720.

The previous prime is 12333100133297. The next prime is 12333100133323.

12333100133321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12333100133321 - 2⁶ = 12333100133257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12333100133323) 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 15 ways as a sum of consecutive naturals, for example, 36819185 + ... + 37152638.

It is an arithmetic number, because the mean of its divisors is an integer number (878785269120).

Almost surely, 2^{12333100133321} is an apocalyptic number.

12333100133321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12333100133321 is a deficient number, since it is larger than the sum of its proper divisors (1727464172599).

12333100133321 is a wasteful number, since it uses less digits than its factorization.

12333100133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73972516.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 12333100 and 133321, that added together give a palindrome (12466421).

The spelling of 12333100133321 in words is "twelve trillion, three hundred thirty-three billion, one hundred million, one hundred thirty-three thousand, three hundred twenty-one".