113113112211 has 24 divisors (see below), whose sum is σ = 188723484144. Its totient is φ = 64520847360.

The previous prime is 113113112191. The next prime is 113113112227. The reversal of 113113112211 is 112211311311.

113113112211 is a `hidden beast` number, since 1 + 131 + 1 + 311 + 221 + 1 = 666.

It is not a de Polignac number, because 113113112211 - 2⁷ = 113113112083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113113112111) 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, 33602926 + ... + 33606291.

It is an arithmetic number, because the mean of its divisors is an integer number (7863478506).

Almost surely, 2^113113112211 is an apocalyptic number.

113113112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113113112211 is a deficient number, since it is larger than the sum of its proper divisors (75610371933).

113113112211 is a wasteful number, since it uses less digits than its factorization.

113113112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67209251 (or 67209248 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 113113112211 its reverse (112211311311), we get a palindrome (225324423522).

Subtracting from 113113112211 its reverse (112211311311), we obtain a square (901800900 = 30030²).

The spelling of 113113112211 in words is "one hundred thirteen billion, one hundred thirteen million, one hundred twelve thousand, two hundred eleven".