113003110013 has 2 divisors, whose sum is σ = 113003110014. Its totient is φ = 113003110012.

The previous prime is 113003110009. The next prime is 113003110049. The reversal of 113003110013 is 310011300311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91374407524 + 21628702489 = 302282^2 + 147067^2 .

It is a cyclic number.

It is not a de Polignac number, because 113003110013 - 2² = 113003110009 is a prime.

It is a super-2 number, since 2×113003110013² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113003110013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113003110613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56501555006 + 56501555007.

It is an arithmetic number, because the mean of its divisors is an integer number (56501555007).

Almost surely, 2^113003110013 is an apocalyptic number.

It is an amenable number.

113003110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113003110013 is an equidigital number, since it uses as much as digits as its factorization.

113003110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 113003110013 its reverse (310011300311), we get a palindrome (423014410324).

The spelling of 113003110013 in words is "one hundred thirteen billion, three million, one hundred ten thousand, thirteen".