13130332320 has 192 divisors, whose sum is σ = 48899531520. Its totient is φ = 2897707008.

The previous prime is 13130332219. The next prime is 13130332321. The reversal of 13130332320 is 2323303131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13130332321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30064 + ... + 164816.

It is an arithmetic number, because the mean of its divisors is an integer number (254685060).

Almost surely, 2^13130332320 is an apocalyptic number.

13130332320 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 13130332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449765760).

13130332320 is an abundant number, since it is smaller than the sum of its proper divisors (35769199200).

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

13130332320 is a wasteful number, since it uses less digits than its factorization.

13130332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134807 (or 134799 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13130332320 its reverse (2323303131), we get a palindrome (15453635451).

The spelling of 13130332320 in words is "thirteen billion, one hundred thirty million, three hundred thirty-two thousand, three hundred twenty".