13300022400 has 384 divisors, whose sum is σ = 51142440960. Its totient is φ = 2974617600.

The previous prime is 13300022383. The next prime is 13300022419. The reversal of 13300022400 is 422000331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13300022400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3156295 + ... + 3160505.

It is an arithmetic number, because the mean of its divisors is an integer number (133183440).

Almost surely, 2^13300022400 is an apocalyptic number.

13300022400 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 13300022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25571220480).

13300022400 is an abundant number, since it is smaller than the sum of its proper divisors (37842418560).

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

13300022400 is a wasteful number, since it uses less digits than its factorization.

13300022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13300022400 its reverse (422000331), we get a palindrome (13722022731).

The spelling of 13300022400 in words is "thirteen billion, three hundred million, twenty-two thousand, four hundred".