113120000113 has 16 divisors (see below), whose sum is σ = 116214840000. Its totient is φ = 110041585920.

The previous prime is 113120000099. The next prime is 113120000159. The reversal of 113120000113 is 311000021311.

It is not a de Polignac number, because 113120000113 - 2¹⁷ = 113119869041 is a prime.

It is a super-2 number, since 2×113120000113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113120000093 and 113120000102.

It is not an unprimeable number, because it can be changed into a prime (113120000183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35249253 + ... + 35252461.

It is an arithmetic number, because the mean of its divisors is an integer number (7263427500).

Almost surely, 2^113120000113 is an apocalyptic number.

It is an amenable number.

113120000113 is a deficient number, since it is larger than the sum of its proper divisors (3094839887).

113120000113 is a wasteful number, since it uses less digits than its factorization.

113120000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 113120000113 its reverse (311000021311), we get a palindrome (424120021424).

The spelling of 113120000113 in words is "one hundred thirteen billion, one hundred twenty million, one hundred thirteen", and thus it is an aban number.