122113011332133 has 12 divisors (see below), whose sum is σ = 176682906791820. Its totient is φ = 81271391462016.

The previous prime is 122113011332111. The next prime is 122113011332159. The reversal of 122113011332133 is 331233110311221.

122113011332133 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 301 + 1 + 3 + 321 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86891611335489 + 35221399996644 = 9321567^2 + 5934762^2 .

It is not a de Polignac number, because 122113011332133 - 2¹² = 122113011328037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113011332097 and 122113011332106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113011332633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11440224318 + ... + 11440234991.

It is an arithmetic number, because the mean of its divisors is an integer number (14723575565985).

Almost surely, 2^{122113011332133} is an apocalyptic number.

It is an amenable number.

122113011332133 is a deficient number, since it is larger than the sum of its proper divisors (54569895459687).

122113011332133 is a wasteful number, since it uses less digits than its factorization.

122113011332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22880459908 (or 22880459905 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 122113011332133 its reverse (331233110311221), we get a palindrome (453346121643354).

The spelling of 122113011332133 in words is "one hundred twenty-two trillion, one hundred thirteen billion, eleven million, three hundred thirty-two thousand, one hundred thirty-three".