113113517 has 16 divisors (see below), whose sum is σ = 135544320. Its totient is φ = 93178800.

The previous prime is 113113493. The next prime is 113113519. The reversal of 113113517 is 715311311.

It is a happy number.

It is not a de Polignac number, because 113113517 - 2⁶ = 113113453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113113492 and 113113501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113519) 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, 6959 + ... + 16572.

It is an arithmetic number, because the mean of its divisors is an integer number (8471520).

Almost surely, 2^113113517 is an apocalyptic number.

It is an amenable number.

113113517 is a deficient number, since it is larger than the sum of its proper divisors (22430803).

113113517 is a wasteful number, since it uses less digits than its factorization.

113113517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23584.

The product of its digits is 315, while the sum is 23.

The square root of 113113517 is about 10635.4838629937. The cubic root of 113113517 is about 483.6206487790.

Adding to 113113517 its reverse (715311311), we get a palindrome (828424828).

The spelling of 113113517 in words is "one hundred thirteen million, one hundred thirteen thousand, five hundred seventeen".