117116113 has 2 divisors, whose sum is σ = 117116114. Its totient is φ = 117116112.

The previous prime is 117116107. The next prime is 117116117. The reversal of 117116113 is 311611711.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116488849 + 627264 = 10793^2 + 792^2 .

It is an emirp because it is prime and its reverse (311611711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 117116113 - 2⁵ = 117116081 is a prime.

It is not a weakly prime, because it can be changed into another prime (117116117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58558056 + 58558057.

It is an arithmetic number, because the mean of its divisors is an integer number (58558057).

Almost surely, 2^117116113 is an apocalyptic number.

It is an amenable number.

117116113 is a deficient number, since it is larger than the sum of its proper divisors (1).

117116113 is an equidigital number, since it uses as much as digits as its factorization.

117116113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 22.

The square root of 117116113 is about 10822.0198207174. The cubic root of 117116113 is about 489.2590676176.

Adding to 117116113 its reverse (311611711), we get a palindrome (428727824).

The spelling of 117116113 in words is "one hundred seventeen million, one hundred sixteen thousand, one hundred thirteen".