13003321320 has 192 divisors, whose sum is σ = 46512273600. Its totient is φ = 3124316160.

The previous prime is 13003321307. The next prime is 13003321321. The reversal of 13003321320 is 2312330031.

13003321320 is a `hidden beast` number, since 1 + 300 + 332 + 1 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13003321293 and 13003321302.

It is not an unprimeable number, because it can be changed into a prime (13003321321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432951 + ... + 462009.

It is an arithmetic number, because the mean of its divisors is an integer number (242251425).

Almost surely, 2^13003321320 is an apocalyptic number.

13003321320 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 13003321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256136800).

13003321320 is an abundant number, since it is smaller than the sum of its proper divisors (33508952280).

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

13003321320 is a wasteful number, since it uses less digits than its factorization.

13003321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29200 (or 29193 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13003321320 its reverse (2312330031), we get a palindrome (15315651351).

The spelling of 13003321320 in words is "thirteen billion, three million, three hundred twenty-one thousand, three hundred twenty".