130013413 has 2 divisors, whose sum is σ = 130013414. Its totient is φ = 130013412.

The previous prime is 130013383. The next prime is 130013459. The reversal of 130013413 is 314310031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115283169 + 14730244 = 10737^2 + 3838^2 .

It is a cyclic number.

It is not a de Polignac number, because 130013413 - 2⁹ = 130012901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130013483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65006706 + 65006707.

It is an arithmetic number, because the mean of its divisors is an integer number (65006707).

Almost surely, 2^130013413 is an apocalyptic number.

It is an amenable number.

130013413 is a deficient number, since it is larger than the sum of its proper divisors (1).

130013413 is an equidigital number, since it uses as much as digits as its factorization.

130013413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 130013413 is about 11402.3424347807. The cubic root of 130013413 is about 506.5971237559.

Adding to 130013413 its reverse (314310031), we get a palindrome (444323444).

The spelling of 130013413 in words is "one hundred thirty million, thirteen thousand, four hundred thirteen".