130320013 has 2 divisors, whose sum is σ = 130320014. Its totient is φ = 130320012.

The previous prime is 130319999. The next prime is 130320037. The reversal of 130320013 is 310023031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120604324 + 9715689 = 10982^2 + 3117^2 .

It is an emirp because it is prime and its reverse (310023031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130320013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130319975 and 130320002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130320053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65160006 + 65160007.

It is an arithmetic number, because the mean of its divisors is an integer number (65160007).

Almost surely, 2^130320013 is an apocalyptic number.

It is an amenable number.

130320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130320013 is an equidigital number, since it uses as much as digits as its factorization.

130320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 130320013 is about 11415.7791236516. The cubic root of 130320013 is about 506.9950333237.

Adding to 130320013 its reverse (310023031), we get a palindrome (440343044).

It can be divided in two parts, 1303 and 20013, that added together give a square (21316 = 146²).

The spelling of 130320013 in words is "one hundred thirty million, three hundred twenty thousand, thirteen".