122122133131113 has 32 divisors (see below), whose sum is σ = 180959531328000. Its totient is φ = 81397723884048.

The previous prime is 122122133131093. The next prime is 122122133131169. The reversal of 122122133131113 is 311131331221221.

122122133131113 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 2 + 1 + 331 + 311 + 13 = 666.

It is not a de Polignac number, because 122122133131113 - 2⁸ = 122122133130857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122122133121113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3268512570 + ... + 3268549932.

It is an arithmetic number, because the mean of its divisors is an integer number (5654985354000).

Almost surely, 2^{122122133131113} is an apocalyptic number.

It is an amenable number.

122122133131113 is a deficient number, since it is larger than the sum of its proper divisors (58837398196887).

122122133131113 is a wasteful number, since it uses less digits than its factorization.

122122133131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59458 (or 59452 counting only the distinct ones).

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

Adding to 122122133131113 its reverse (311131331221221), we get a palindrome (433253464352334).

The spelling of 122122133131113 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred thirteen".