113003012113 has 2 divisors, whose sum is σ = 113003012114. Its totient is φ = 113003012112.

The previous prime is 113003012093. The next prime is 113003012141. The reversal of 113003012113 is 311210300311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110099203344 + 2903808769 = 331812^2 + 53887^2 .

It is a cyclic number.

It is not a de Polignac number, because 113003012113 - 2²⁵ = 112969457681 is a prime.

It is a super-2 number, since 2×113003012113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113003019113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56501506056 + 56501506057.

It is an arithmetic number, because the mean of its divisors is an integer number (56501506057).

Almost surely, 2^113003012113 is an apocalyptic number.

It is an amenable number.

113003012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

113003012113 is an equidigital number, since it uses as much as digits as its factorization.

113003012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113003012113 its reverse (311210300311), we get a palindrome (424213312424).

The spelling of 113003012113 in words is "one hundred thirteen billion, three million, twelve thousand, one hundred thirteen".