113585850113 has 2 divisors, whose sum is σ = 113585850114. Its totient is φ = 113585850112.

The previous prime is 113585850061. The next prime is 113585850143. The reversal of 113585850113 is 311058585311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91644241984 + 21941608129 = 302728^2 + 148127^2 .

It is a cyclic number.

It is not a de Polignac number, because 113585850113 - 2³² = 109290882817 is a prime.

It is a super-2 number, since 2×113585850113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113585850143) 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, 56792925056 + 56792925057.

It is an arithmetic number, because the mean of its divisors is an integer number (56792925057).

Almost surely, 2^113585850113 is an apocalyptic number.

It is an amenable number.

113585850113 is a deficient number, since it is larger than the sum of its proper divisors (1).

113585850113 is an equidigital number, since it uses as much as digits as its factorization.

113585850113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 41.

The spelling of 113585850113 in words is "one hundred thirteen billion, five hundred eighty-five million, eight hundred fifty thousand, one hundred thirteen".