130020313 has 2 divisors, whose sum is σ = 130020314. Its totient is φ = 130020312.

The previous prime is 130020281. The next prime is 130020337. The reversal of 130020313 is 313020031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118548544 + 11471769 = 10888^2 + 3387^2 .

It is a cyclic number.

It is not a de Polignac number, because 130020313 - 2⁵ = 130020281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130020293 and 130020302.

It is not a weakly prime, because it can be changed into another prime (130020353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65010156 + 65010157.

It is an arithmetic number, because the mean of its divisors is an integer number (65010157).

Almost surely, 2^130020313 is an apocalyptic number.

It is an amenable number.

130020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130020313 is an equidigital number, since it uses as much as digits as its factorization.

130020313 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 130020313 is about 11402.6450001743. The cubic root of 130020313 is about 506.6060855449.

Adding to 130020313 its reverse (313020031), we get a palindrome (443040344).

The spelling of 130020313 in words is "one hundred thirty million, twenty thousand, three hundred thirteen".