122123121133113 has 96 divisors (see below), whose sum is σ = 194444643115008. Its totient is φ = 73603851552000.

The previous prime is 122123121133087. The next prime is 122123121133271. The reversal of 122123121133113 is 311331121321221.

122123121133113 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 312 + 1 + 1 + 331 + 13 = 666.

It is not a de Polignac number, because 122123121133113 - 2³⁶ = 122054401656377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122123121133613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5532681445 + ... + 5532703517.

It is an arithmetic number, because the mean of its divisors is an integer number (2025465032448).

Almost surely, 2^{122123121133113} is an apocalyptic number.

It is an amenable number.

122123121133113 is a deficient number, since it is larger than the sum of its proper divisors (72321521981895).

122123121133113 is a wasteful number, since it uses less digits than its factorization.

122123121133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42227 (or 42224 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 122123121133113 its reverse (311331121321221), we get a palindrome (433454242454334).

The spelling of 122123121133113 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred thirteen".