13330202130113 has 24 divisors (see below), whose sum is σ = 14679771137640. Its totient is φ = 12095577401600.

The previous prime is 13330202130109. The next prime is 13330202130121. The reversal of 13330202130113 is 31103120203331.

It can be written as a sum of positive squares in 4 ways, for example, as 6485950843009 + 6844251287104 = 2546753^2 + 2616152^2 .

It is not a de Polignac number, because 13330202130113 - 2² = 13330202130109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13330202132113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315703343 + ... + 315745563.

It is an arithmetic number, because the mean of its divisors is an integer number (611657130735).

Almost surely, 2^{13330202130113} is an apocalyptic number.

It is an amenable number.

13330202130113 is a deficient number, since it is larger than the sum of its proper divisors (1349569007527).

13330202130113 is a wasteful number, since it uses less digits than its factorization.

13330202130113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47089 (or 47078 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13330202130113 its reverse (31103120203331), we get a palindrome (44433322333444).

The spelling of 13330202130113 in words is "thirteen trillion, three hundred thirty billion, two hundred two million, one hundred thirty thousand, one hundred thirteen".