130200231310013 has 8 divisors (see below), whose sum is σ = 130703055111000. Its totient is φ = 129697546828608.

The previous prime is 130200231309901. The next prime is 130200231310027. The reversal of 130200231310013 is 310013132002031.

It can be written as a sum of positive squares in 4 ways, for example, as 42901163810404 + 87299067499609 = 6549898^2 + 9343397^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130200231310013 - 2¹⁸ = 130200231047869 is a prime.

It is a super-2 number, since 2×130200231310013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130200231310033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32957006 + ... + 36695567.

It is an arithmetic number, because the mean of its divisors is an integer number (16337881888875).

Almost surely, 2^{130200231310013} is an apocalyptic number.

It is an amenable number.

130200231310013 is a deficient number, since it is larger than the sum of its proper divisors (502823800987).

130200231310013 is an equidigital number, since it uses as much as digits as its factorization.

130200231310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69659791.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130200231310013 its reverse (310013132002031), we get a palindrome (440213363312044).

The spelling of 130200231310013 in words is "one hundred thirty trillion, two hundred billion, two hundred thirty-one million, three hundred ten thousand, thirteen".