13133130313 has 8 divisors (see below), whose sum is σ = 13173578048. Its totient is φ = 13092743664.

The previous prime is 13133130301. The next prime is 13133130317. The reversal of 13133130313 is 31303133131.

13133130313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13133130313 is a prime.

It is a super-2 number, since 2×13133130313² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13133130317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435595 + ... + 464767.

It is an arithmetic number, because the mean of its divisors is an integer number (1646697256).

Almost surely, 2^13133130313 is an apocalyptic number.

It is an amenable number.

13133130313 is a deficient number, since it is larger than the sum of its proper divisors (40447735).

13133130313 is an equidigital number, since it uses as much as digits as its factorization.

13133130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30543.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 13133130313 its reverse (31303133131), we get a palindrome (44436263444).

The spelling of 13133130313 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty thousand, three hundred thirteen".