130001310013 has 2 divisors, whose sum is σ = 130001310014. Its totient is φ = 130001310012.

The previous prime is 130001309951. The next prime is 130001310029. The reversal of 130001310013 is 310013100031.

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., 128922647364 + 1078662649 = 359058^2 + 32843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130001310013 is a prime.

It is a super-2 number, since 2×130001310013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130001309975 and 130001310002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130001310613) 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, 65000655006 + 65000655007.

It is an arithmetic number, because the mean of its divisors is an integer number (65000655007).

Almost surely, 2^130001310013 is an apocalyptic number.

It is an amenable number.

130001310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

130001310013 is an equidigital number, since it uses as much as digits as its factorization.

130001310013 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.

Adding to 130001310013 its reverse (310013100031), we get a palindrome (440014410044).

The spelling of 130001310013 in words is "one hundred thirty billion, one million, three hundred ten thousand, thirteen".