113103330013 has 2 divisors, whose sum is σ = 113103330014. Its totient is φ = 113103330012.

The previous prime is 113103329981. The next prime is 113103330019. The reversal of 113103330013 is 310033301311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74735530884 + 38367799129 = 273378^2 + 195877^2 .

It is a cyclic number.

It is not a de Polignac number, because 113103330013 - 2⁵ = 113103329981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113103330019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56551665006 + 56551665007.

It is an arithmetic number, because the mean of its divisors is an integer number (56551665007).

Almost surely, 2^113103330013 is an apocalyptic number.

It is an amenable number.

113103330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113103330013 is an equidigital number, since it uses as much as digits as its factorization.

113103330013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 113103330013 its reverse (310033301311), we get a palindrome (423136631324).

The spelling of 113103330013 in words is "one hundred thirteen billion, one hundred three million, three hundred thirty thousand, thirteen".