13222131100200 has 576 divisors, whose sum is σ = 49794659366400. Its totient is φ = 3115953100800.

The previous prime is 13222131100193. The next prime is 13222131100223. The reversal of 13222131100200 is 200113122231.

13222131100200 is a `hidden beast` number, since 1 + 322 + 2 + 131 + 10 + 0 + 200 = 666.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 888636361 + ... + 888651239.

It is an arithmetic number, because the mean of its divisors is an integer number (86449061400).

Almost surely, 2^{13222131100200} is an apocalyptic number.

13222131100200 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 13222131100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897329683200).

13222131100200 is an abundant number, since it is smaller than the sum of its proper divisors (36572528266200).

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

13222131100200 is a wasteful number, since it uses less digits than its factorization.

13222131100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16162 (or 16150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13222131100200 its reverse (200113122231), we get a palindrome (13422244222431).

It can be divided in two parts, 13222131 and 100200, that added together give a palindrome (13322331).

The spelling of 13222131100200 in words is "thirteen trillion, two hundred twenty-two billion, one hundred thirty-one million, one hundred thousand, two hundred".