13321022332200 has 384 divisors, whose sum is σ = 46294991752320. Its totient is φ = 3140146483200.

The previous prime is 13321022332183. The next prime is 13321022332217. The reversal of 13321022332200 is 223322012331.

13321022332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13321022332183) and next prime (13321022332217).

It is a super-2 number, since 2×13321022332200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423182862 + ... + 423214338.

It is an arithmetic number, because the mean of its divisors is an integer number (120559874355).

Almost surely, 2^{13321022332200} is an apocalyptic number.

13321022332200 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 13321022332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23147495876160).

13321022332200 is an abundant number, since it is smaller than the sum of its proper divisors (32973969420120).

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

13321022332200 is a wasteful number, since it uses less digits than its factorization.

13321022332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33277 (or 33268 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13321022332200 its reverse (223322012331), we get a palindrome (13544344344531).

The spelling of 13321022332200 in words is "thirteen trillion, three hundred twenty-one billion, twenty-two million, three hundred thirty-two thousand, two hundred".