113120311113 has 6 divisors (see below), whose sum is σ = 163396004954. Its totient is φ = 75413540736.

The previous prime is 113120311103. The next prime is 113120311127. The reversal of 113120311113 is 311113021311.

It can be written as a sum of positive squares in only one way, i.e., 80331431184 + 32788879929 = 283428^2 + 181077^2 .

It is not a de Polignac number, because 113120311113 - 2⁹ = 113120310601 is a prime.

It is a super-2 number, since 2×113120311113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113120311103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6284461720 + ... + 6284461737.

Almost surely, 2^113120311113 is an apocalyptic number.

It is an amenable number.

113120311113 is a deficient number, since it is larger than the sum of its proper divisors (50275693841).

113120311113 is a wasteful number, since it uses less digits than its factorization.

113120311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568923463 (or 12568923460 counting only the distinct ones).

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

Adding to 113120311113 its reverse (311113021311), we get a palindrome (424233332424).

It can be divided in two parts, 1131203 and 11113, that added together give a triangular number (1142316 = T₁₅₁₁).

The spelling of 113120311113 in words is "one hundred thirteen billion, one hundred twenty million, three hundred eleven thousand, one hundred thirteen".