113005117 has 2 divisors, whose sum is σ = 113005118. Its totient is φ = 113005116.

The previous prime is 113005033. The next prime is 113005121. The reversal of 113005117 is 711500311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68128516 + 44876601 = 8254^2 + 6699^2 .

It is a cyclic number.

It is not a de Polignac number, because 113005117 - 2¹⁹ = 112480829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113005094 and 113005103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113005147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56502558 + 56502559.

It is an arithmetic number, because the mean of its divisors is an integer number (56502559).

Almost surely, 2^113005117 is an apocalyptic number.

It is an amenable number.

113005117 is a deficient number, since it is larger than the sum of its proper divisors (1).

113005117 is an equidigital number, since it uses as much as digits as its factorization.

113005117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 113005117 is about 10630.3864934442. The cubic root of 113005117 is about 483.4661101194.

Adding to 113005117 its reverse (711500311), we get a palindrome (824505428).

The spelling of 113005117 in words is "one hundred thirteen million, five thousand, one hundred seventeen".