13312123321013 has 32 divisors (see below), whose sum is σ = 15401610000000. Its totient is φ = 11378889400320.

The previous prime is 13312123320953. The next prime is 13312123321031. The reversal of 13312123321013 is 31012332121331.

It is a cyclic number.

It is not a de Polignac number, because 13312123321013 - 2³⁸ = 13037245414069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312123321813) 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 31 ways as a sum of consecutive naturals, for example, 38723981 + ... + 39066237.

It is an arithmetic number, because the mean of its divisors is an integer number (481300312500).

Almost surely, 2^{13312123321013} is an apocalyptic number.

It is an amenable number.

13312123321013 is a deficient number, since it is larger than the sum of its proper divisors (2089486678987).

13312123321013 is a wasteful number, since it uses less digits than its factorization.

13312123321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343685.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 13312123321013 its reverse (31012332121331), we get a palindrome (44324455442344).

The spelling of 13312123321013 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-three million, three hundred twenty-one thousand, thirteen".