113313011121 has 12 divisors (see below), whose sum is σ = 163801343940. Its totient is φ = 75483394560.

The previous prime is 113313011107. The next prime is 113313011137. The reversal of 113313011121 is 121110313311.

113313011121 is a `hidden beast` number, since 1 + 1 + 331 + 301 + 11 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82314479025 + 30998532096 = 286905^2 + 176064^2 .

It is not a de Polignac number, because 113313011121 - 2⁵ = 113313011089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113313011094 and 113313011103.

It is not an unprimeable number, because it can be changed into a prime (113313016121) 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, 4872160 + ... + 4895361.

It is an arithmetic number, because the mean of its divisors is an integer number (13650111995).

Almost surely, 2^113313011121 is an apocalyptic number.

It is an amenable number.

113313011121 is a deficient number, since it is larger than the sum of its proper divisors (50488332819).

113313011121 is a wasteful number, since it uses less digits than its factorization.

113313011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9768816 (or 9768813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 113313011121 its reverse (121110313311), we get a palindrome (234423324432).

The spelling of 113313011121 in words is "one hundred thirteen billion, three hundred thirteen million, eleven thousand, one hundred twenty-one".