130113033130313 has 2 divisors, whose sum is σ = 130113033130314. Its totient is φ = 130113033130312.

The previous prime is 130113033130277. The next prime is 130113033130337. The reversal of 130113033130313 is 313031330311031.

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., 129812480286784 + 300552843529 = 11393528^2 + 548227^2 .

It is a cyclic number.

It is not a de Polignac number, because 130113033130313 - 2¹⁴ = 130113033113929 is a prime.

It is not a weakly prime, because it can be changed into another prime (130113033130393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65056516565156 + 65056516565157.

It is an arithmetic number, because the mean of its divisors is an integer number (65056516565157).

Almost surely, 2^{130113033130313} is an apocalyptic number.

It is an amenable number.

130113033130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

130113033130313 is an equidigital number, since it uses as much as digits as its factorization.

130113033130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 130113033130313 its reverse (313031330311031), we get a palindrome (443144363441344).

The spelling of 130113033130313 in words is "one hundred thirty trillion, one hundred thirteen billion, thirty-three million, one hundred thirty thousand, three hundred thirteen".