13321100320 has 96 divisors (see below), whose sum is σ = 34443916416. Its totient is φ = 4828262400.

The previous prime is 13321100267. The next prime is 13321100321. The reversal of 13321100320 is 2300112331.

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 = 13321100294 and 13321100303.

It is not an unprimeable number, because it can be changed into a prime (13321100321) 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 15 ways as a sum of consecutive naturals, for example, 535192 + ... + 559528.

It is an arithmetic number, because the mean of its divisors is an integer number (358790796).

Almost surely, 2^13321100320 is an apocalyptic number.

13321100320 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 13321100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221958208).

13321100320 is an abundant number, since it is smaller than the sum of its proper divisors (21122816096).

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

13321100320 is a wasteful number, since it uses less digits than its factorization.

13321100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24674 (or 24666 counting only the distinct ones).

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

Adding to 13321100320 its reverse (2300112331), we get a palindrome (15621212651).

The spelling of 13321100320 in words is "thirteen billion, three hundred twenty-one million, one hundred thousand, three hundred twenty".