13330222400 has 168 divisors, whose sum is σ = 36141660000. Its totient is φ = 4798720000.

The previous prime is 13330222357. The next prime is 13330222441. The reversal of 13330222400 is 422203331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773851 + ... + 1781349.

Almost surely, 2^13330222400 is an apocalyptic number.

13330222400 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 13330222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070830000).

13330222400 is an abundant number, since it is smaller than the sum of its proper divisors (22811437600).

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

13330222400 is a wasteful number, since it uses less digits than its factorization.

13330222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7633 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13330222400 its reverse (422203331), we get a palindrome (13752425731).

The spelling of 13330222400 in words is "thirteen billion, three hundred thirty million, two hundred twenty-two thousand, four hundred".