113007935713 has 2 divisors, whose sum is σ = 113007935714. Its totient is φ = 113007935712.

The previous prime is 113007935681. The next prime is 113007935717. The reversal of 113007935713 is 317539700311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57315711649 + 55692224064 = 239407^2 + 235992^2 .

It is an emirp because it is prime and its reverse (317539700311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113007935713 - 2⁵ = 113007935681 is a prime.

It is a super-2 number, since 2×113007935713² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113007935717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56503967856 + 56503967857.

It is an arithmetic number, because the mean of its divisors is an integer number (56503967857).

Almost surely, 2^113007935713 is an apocalyptic number.

It is an amenable number.

113007935713 is a deficient number, since it is larger than the sum of its proper divisors (1).

113007935713 is an equidigital number, since it uses as much as digits as its factorization.

113007935713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59535, while the sum is 40.

The spelling of 113007935713 in words is "one hundred thirteen billion, seven million, nine hundred thirty-five thousand, seven hundred thirteen".