113033120211 has 96 divisors (see below), whose sum is σ = 185593996224. Its totient is φ = 65691648000.

The previous prime is 113033120183. The next prime is 113033120261. The reversal of 113033120211 is 112021330311.

113033120211 is a `hidden beast` number, since 1 + 130 + 331 + 202 + 1 + 1 = 666.

It is not a de Polignac number, because 113033120211 - 2⁶ = 113033120147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113033120261) 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 95 ways as a sum of consecutive naturals, for example, 128300491 + ... + 128301371.

It is an arithmetic number, because the mean of its divisors is an integer number (1933270794).

Almost surely, 2^113033120211 is an apocalyptic number.

113033120211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113033120211 is a deficient number, since it is larger than the sum of its proper divisors (72560876013).

113033120211 is a wasteful number, since it uses less digits than its factorization.

113033120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113033120211 its reverse (112021330311), we get a palindrome (225054450522).

The spelling of 113033120211 in words is "one hundred thirteen billion, thirty-three million, one hundred twenty thousand, two hundred eleven".