13130012320 has 96 divisors (see below), whose sum is σ = 32824673280. Its totient is φ = 4949314560.

The previous prime is 13130012309. The next prime is 13130012333. The reversal of 13130012320 is 2321003131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13130012294 and 13130012303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569334 + ... + 591946.

It is an arithmetic number, because the mean of its divisors is an integer number (341923680).

Almost surely, 2^13130012320 is an apocalyptic number.

13130012320 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 13130012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412336640).

13130012320 is an abundant number, since it is smaller than the sum of its proper divisors (19694660960).

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

13130012320 is a wasteful number, since it uses less digits than its factorization.

13130012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22838 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13130012320 its reverse (2321003131), we get a palindrome (15451015451).

The spelling of 13130012320 in words is "thirteen billion, one hundred thirty million, twelve thousand, three hundred twenty".