13123322133120 has 192 divisors, whose sum is σ = 45318852633600. Its totient is φ = 3499368708096.

The previous prime is 13123322133059. The next prime is 13123322133169. The reversal of 13123322133120 is 2133122332131.

13123322133120 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 322 + 1 + 331 + 2 + 0 = 666.

13123322133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136711701 + ... + 136807659.

It is an arithmetic number, because the mean of its divisors is an integer number (236035690800).

Almost surely, 2^{13123322133120} is an apocalyptic number.

13123322133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123322133120 is an abundant number, since it is smaller than the sum of its proper divisors (32195530500480).

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

13123322133120 is a wasteful number, since it uses less digits than its factorization.

13123322133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119727 (or 119712 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13123322133120 its reverse (2133122332131), we get a palindrome (15256444465251).

The spelling of 13123322133120 in words is "thirteen trillion, one hundred twenty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".