13030123313 has 8 divisors (see below), whose sum is σ = 13492079400. Its totient is φ = 12569010048.

The previous prime is 13030123303. The next prime is 13030123339. The reversal of 13030123313 is 31332103031.

13030123313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 591851584 + 12438271729 = 24328^2 + 111527^2 .

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 13030123313 - 2²⁴ = 13013346097 is a prime.

It is a super-2 number, since 2×13030123313² (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 (13030123303) 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, 179156 + ... + 241157.

It is an arithmetic number, because the mean of its divisors is an integer number (1686509925).

Almost surely, 2^13030123313 is an apocalyptic number.

It is an amenable number.

13030123313 is a deficient number, since it is larger than the sum of its proper divisors (461956087).

13030123313 is a wasteful number, since it uses less digits than its factorization.

13030123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421411.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13030123313 its reverse (31332103031), we get a palindrome (44362226344).

The spelling of 13030123313 in words is "thirteen billion, thirty million, one hundred twenty-three thousand, three hundred thirteen".