13220323200 has 384 divisors, whose sum is σ = 55297056000. Its totient is φ = 3021649920.

The previous prime is 13220323163. The next prime is 13220323213. The reversal of 13220323200 is 232302231.

It is a happy number.

13220323200 is a `hidden beast` number, since 1 + 322 + 0 + 323 + 20 + 0 = 666.

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 (18).

It is a congruent number.

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, 593871 + ... + 615729.

It is an arithmetic number, because the mean of its divisors is an integer number (144002750).

Almost surely, 2^13220323200 is an apocalyptic number.

13220323200 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 13220323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648528000).

13220323200 is an abundant number, since it is smaller than the sum of its proper divisors (42076732800).

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

13220323200 is a wasteful number, since it uses less digits than its factorization.

13220323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21899 (or 21876 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13220323200 its reverse (232302231), we get a palindrome (13452625431).

It can be divided in two parts, 132203 and 23200, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 13220323200 in words is "thirteen billion, two hundred twenty million, three hundred twenty-three thousand, two hundred".