13123310320 has 80 divisors (see below), whose sum is σ = 30847454208. Its totient is φ = 5191727360.

The previous prime is 13123310311. The next prime is 13123310329. The reversal of 13123310320 is 2301332131.

13123310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13123310311) and next prime (13123310329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123310329) 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 15 ways as a sum of consecutive naturals, for example, 8824617 + ... + 8826103.

Almost surely, 2^13123310320 is an apocalyptic number.

13123310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423727104).

13123310320 is an abundant number, since it is smaller than the sum of its proper divisors (17724143888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13123310320 is a wasteful number, since it uses less digits than its factorization.

13123310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13123310320 its reverse (2301332131), we get a palindrome (15424642451).

The spelling of 13123310320 in words is "thirteen billion, one hundred twenty-three million, three hundred ten thousand, three hundred twenty".