113123003121 has 12 divisors (see below), whose sum is σ = 166078580980. Its totient is φ = 74179018080.

The previous prime is 113123003101. The next prime is 113123003159. The reversal of 113123003121 is 121300321311.

113123003121 is a `hidden beast` number, since 1 + 1 + 312 + 300 + 31 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55054052496 + 58068950625 = 234636^2 + 240975^2 .

It is not a de Polignac number, because 113123003121 - 2⁵ = 113123003089 is a prime.

It is a super-2 number, since 2×113123003121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113123003094 and 113123003103.

It is not an unprimeable number, because it can be changed into a prime (113123003101) 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 11 ways as a sum of consecutive naturals, for example, 103025866 + ... + 103026963.

Almost surely, 2^113123003121 is an apocalyptic number.

It is an amenable number.

113123003121 is a deficient number, since it is larger than the sum of its proper divisors (52955577859).

113123003121 is a wasteful number, since it uses less digits than its factorization.

113123003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206052896 (or 206052893 counting only the distinct ones).

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

Adding to 113123003121 its reverse (121300321311), we get a palindrome (234423324432).

The spelling of 113123003121 in words is "one hundred thirteen billion, one hundred twenty-three million, three thousand, one hundred twenty-one".