13320223200 has 180 divisors, whose sum is σ = 48576500280. Its totient is φ = 3552042240.

The previous prime is 13320223199. The next prime is 13320223207. The reversal of 13320223200 is 232202331.

It is a happy number.

13320223200 is a `hidden beast` number, since 1 + 3 + 320 + 22 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320223207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37980 + ... + 167579.

It is an arithmetic number, because the mean of its divisors is an integer number (269869446).

Almost surely, 2^13320223200 is an apocalyptic number.

13320223200 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 13320223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288250140).

13320223200 is an abundant number, since it is smaller than the sum of its proper divisors (35256277080).

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

13320223200 is a wasteful number, since it uses less digits than its factorization.

13320223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205591 (or 205569 counting only the distinct ones).

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

Adding to 13320223200 its reverse (232202331), we get a palindrome (13552425531).

The spelling of 13320223200 in words is "thirteen billion, three hundred twenty million, two hundred twenty-three thousand, two hundred".