112117113 has 6 divisors (see below), whose sum is σ = 161946954. Its totient is φ = 74744736.

The previous prime is 112117097. The next prime is 112117129. The reversal of 112117113 is 311711211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112117097) and next prime (112117129).

It can be written as a sum of positive squares in only one way, i.e., 78801129 + 33315984 = 8877^2 + 5772^2 .

It is not a de Polignac number, because 112117113 - 2⁴ = 112117097 is a prime.

It is a super-4 number, since 4×112117113⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (112117133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6228720 + ... + 6228737.

It is an arithmetic number, because the mean of its divisors is an integer number (26991159).

Almost surely, 2^112117113 is an apocalyptic number.

It is an amenable number.

112117113 is a deficient number, since it is larger than the sum of its proper divisors (49829841).

112117113 is a wasteful number, since it uses less digits than its factorization.

112117113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457463 (or 12457460 counting only the distinct ones).

The product of its digits is 42, while the sum is 18.

The square root of 112117113 is about 10588.5368677641. The cubic root of 112117113 is about 482.1964056128.

Adding to 112117113 its reverse (311711211), we get a palindrome (423828324).

The spelling of 112117113 in words is "one hundred twelve million, one hundred seventeen thousand, one hundred thirteen".