13123330313 has 4 divisors (see below), whose sum is σ = 13125487428. Its totient is φ = 13121173200.

The previous prime is 13123330303. The next prime is 13123330333. The reversal of 13123330313 is 31303332131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31303332131 = 11527 ⋅2715653.

It can be written as a sum of positive squares in 2 ways, for example, as 4859065849 + 8264264464 = 69707^2 + 90908^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123330313 - 2⁶ = 13123330249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13123330303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1069406 + ... + 1081607.

It is an arithmetic number, because the mean of its divisors is an integer number (3281371857).

Almost surely, 2^13123330313 is an apocalyptic number.

It is an amenable number.

13123330313 is a deficient number, since it is larger than the sum of its proper divisors (2157115).

13123330313 is an equidigital number, since it uses as much as digits as its factorization.

13123330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157114.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13123330313 its reverse (31303332131), we get a palindrome (44426662444).

The spelling of 13123330313 in words is "thirteen billion, one hundred twenty-three million, three hundred thirty thousand, three hundred thirteen".