113130013 has 2 divisors, whose sum is σ = 113130014. Its totient is φ = 113130012.

The previous prime is 113130007. The next prime is 113130041. The reversal of 113130013 is 310031311.

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., 112402404 + 727609 = 10602^2 + 853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113130013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113129975 and 113130002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113130113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565006 + 56565007.

It is an arithmetic number, because the mean of its divisors is an integer number (56565007).

Almost surely, 2^113130013 is an apocalyptic number.

It is an amenable number.

113130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113130013 is an equidigital number, since it uses as much as digits as its factorization.

113130013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 113130013 is about 10636.2593518586. The cubic root of 113130013 is about 483.6441573706.

Adding to 113130013 its reverse (310031311), we get a palindrome (423161324).

The spelling of 113130013 in words is "one hundred thirteen million, one hundred thirty thousand, thirteen".