13323123321312 has 96 divisors (see below), whose sum is σ = 39981419251200. Its totient is φ = 3805459112448.

The previous prime is 13323123321301. The next prime is 13323123321317. The reversal of 13323123321312 is 21312332132331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13323123321312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323123321317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756387 + ... + 5217122.

It is an arithmetic number, because the mean of its divisors is an integer number (416473117200).

Almost surely, 2^{13323123321312} is an apocalyptic number.

13323123321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13323123321312 is an abundant number, since it is smaller than the sum of its proper divisors (26658295929888).

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

13323123321312 is a wasteful number, since it uses less digits than its factorization.

13323123321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976848 (or 5976840 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 13323123321312 its reverse (21312332132331), we get a palindrome (34635455453643).

The spelling of 13323123321312 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred twelve".