130113013 has 2 divisors, whose sum is σ = 130113014. Its totient is φ = 130113012.

The previous prime is 130112993. The next prime is 130113017. The reversal of 130113013 is 310311031.

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., 126720049 + 3392964 = 11257^2 + 1842^2 .

It is a cyclic number.

It is not a de Polignac number, because 130113013 - 2⁹ = 130112501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130112984 and 130113002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130113017) 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, 65056506 + 65056507.

It is an arithmetic number, because the mean of its divisors is an integer number (65056507).

Almost surely, 2^130113013 is an apocalyptic number.

It is an amenable number.

130113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130113013 is an equidigital number, since it uses as much as digits as its factorization.

130113013 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 13.

The square root of 130113013 is about 11406.7091222666. The cubic root of 130113013 is about 506.7264545001.

Adding to 130113013 its reverse (310311031), we get a palindrome (440424044).

The spelling of 130113013 in words is "one hundred thirty million, one hundred thirteen thousand, thirteen".