113122031121 has 24 divisors (see below), whose sum is σ = 178429021056. Its totient is φ = 68491067040.

The previous prime is 113122031093. The next prime is 113122031123. The reversal of 113122031121 is 121130221311.

113122031121 is a `hidden beast` number, since 1 + 1 + 312 + 20 + 311 + 21 = 666.

It is not a de Polignac number, because 113122031121 - 2²⁹ = 112585160209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113122031094 and 113122031103.

It is not an unprimeable number, because it can be changed into a prime (113122031123) 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 23 ways as a sum of consecutive naturals, for example, 463705 + ... + 664278.

It is an arithmetic number, because the mean of its divisors is an integer number (7434542544).

Almost surely, 2^113122031121 is an apocalyptic number.

113122031121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113122031121 is a deficient number, since it is larger than the sum of its proper divisors (65306989935).

113122031121 is a wasteful number, since it uses less digits than its factorization.

113122031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129013 (or 1129010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113122031121 its reverse (121130221311), we get a palindrome (234252252432).

The spelling of 113122031121 in words is "one hundred thirteen billion, one hundred twenty-two million, thirty-one thousand, one hundred twenty-one".