113221212122133 has 24 divisors (see below), whose sum is σ = 164260092054240. Its totient is φ = 75149510604000.

The previous prime is 113221212122129. The next prime is 113221212122159. The reversal of 113221212122133 is 331221212122311.

113221212122133 is a `hidden beast` number, since 1 + 1 + 3 + 221 + 212 + 1 + 221 + 3 + 3 = 666.

It is not a de Polignac number, because 113221212122133 - 2² = 113221212122129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113221212122097 and 113221212122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113221212122173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4636266 + ... + 15746027.

It is an arithmetic number, because the mean of its divisors is an integer number (6844170502260).

Almost surely, 2^{113221212122133} is an apocalyptic number.

It is an amenable number.

113221212122133 is a deficient number, since it is larger than the sum of its proper divisors (51038879932107).

113221212122133 is a wasteful number, since it uses less digits than its factorization.

113221212122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20385009 (or 20385006 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 113221212122133 its reverse (331221212122311), we get a palindrome (444442424244444).

The spelling of 113221212122133 in words is "one hundred thirteen trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred thirty-three".