13123322133121 has 8 divisors (see below), whose sum is σ = 13246095589920. Its totient is φ = 13000551002208.

The previous prime is 13123322133059. The next prime is 13123322133169. The reversal of 13123322133121 is 12133122332131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13123322133121 - 2¹⁵ = 13123322100353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13123322133121.

It is not an unprimeable number, because it can be changed into a prime (13123322133221) 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 7 ways as a sum of consecutive naturals, for example, 12029085 + ... + 13074613.

It is an arithmetic number, because the mean of its divisors is an integer number (1655761948740).

Almost surely, 2^{13123322133121} is an apocalyptic number.

It is an amenable number.

13123322133121 is a deficient number, since it is larger than the sum of its proper divisors (122773456799).

13123322133121 is a wasteful number, since it uses less digits than its factorization.

13123322133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162943.

The product of its digits is 3888, while the sum is 28.

Adding to 13123322133121 its reverse (12133122332131), we get a palindrome (25256444465252).

The spelling of 13123322133121 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-one".