13013430313 has 16 divisors (see below), whose sum is σ = 14353790976. Its totient is φ = 11723924160.

The previous prime is 13013430289. The next prime is 13013430319. The reversal of 13013430313 is 31303431031.

It is not a de Polignac number, because 13013430313 - 2⁵ = 13013430281 is a prime.

It is a super-2 number, since 2×13013430313² (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 (13013430319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82156 + ... + 181042.

It is an arithmetic number, because the mean of its divisors is an integer number (897111936).

Almost surely, 2^13013430313 is an apocalyptic number.

13013430313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13013430313 is a deficient number, since it is larger than the sum of its proper divisors (1340360663).

13013430313 is a wasteful number, since it uses less digits than its factorization.

13013430313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99144.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13013430313 its reverse (31303431031), we get a palindrome (44316861344).

The spelling of 13013430313 in words is "thirteen billion, thirteen million, four hundred thirty thousand, three hundred thirteen".