13321030400 has 108 divisors (see below), whose sum is σ = 33039130152. Its totient is φ = 5317509120.

The previous prime is 13321030399. The next prime is 13321030409. The reversal of 13321030400 is 403012331.

It is a happy number.

13321030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13321030409) 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 11 ways as a sum of consecutive naturals, for example, 3601352 + ... + 3605048.

Almost surely, 2^13321030400 is an apocalyptic number.

13321030400 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 13321030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519565076).

13321030400 is an abundant number, since it is smaller than the sum of its proper divisors (19718099752).

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

13321030400 is an equidigital number, since it uses as much as digits as its factorization.

13321030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13321030400 its reverse (403012331), we get a palindrome (13724042731).

The spelling of 13321030400 in words is "thirteen billion, three hundred twenty-one million, thirty thousand, four hundred".