130020013 has 2 divisors, whose sum is σ = 130020014. Its totient is φ = 130020012.

The previous prime is 130019977. The next prime is 130020019. The reversal of 130020013 is 310020031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122168809 + 7851204 = 11053^2 + 2802^2 .

It is a cyclic number.

It is not a de Polignac number, because 130020013 - 2⁹ = 130019501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130020019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65010006 + 65010007.

It is an arithmetic number, because the mean of its divisors is an integer number (65010007).

Almost surely, 2^130020013 is an apocalyptic number.

It is an amenable number.

130020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130020013 is an equidigital number, since it uses as much as digits as its factorization.

130020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130020013 is about 11402.6318453241. The cubic root of 130020013 is about 506.6056959085.

Adding to 130020013 its product of nonzero digits (18), we get a palindrome (130020031).

Adding to 130020013 its reverse (310020031), we get a palindrome (440040044).

The spelling of 130020013 in words is "one hundred thirty million, twenty thousand, thirteen".