122133123113 has 16 divisors (see below), whose sum is σ = 125928700800. Its totient is φ = 118409537664.

The previous prime is 122133123107. The next prime is 122133123163. The reversal of 122133123113 is 311321331221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122133123113 is a prime.

It is a super-2 number, since 2×122133123113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133123163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155095 + ... + 1256387.

It is an arithmetic number, because the mean of its divisors is an integer number (7870543800).

Almost surely, 2^122133123113 is an apocalyptic number.

It is an amenable number.

122133123113 is a deficient number, since it is larger than the sum of its proper divisors (3795577687).

122133123113 is a wasteful number, since it uses less digits than its factorization.

122133123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101648.

The product of its digits is 648, while the sum is 23.

Adding to 122133123113 its reverse (311321331221), we get a palindrome (433454454334).

The spelling of 122133123113 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred thirteen".