13231223332200 has 960 divisors, whose sum is σ = 49034531589120. Its totient is φ = 3301627392000.

The previous prime is 13231223332189. The next prime is 13231223332273. The reversal of 13231223332200 is 223332213231.

13231223332200 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 122 + 3 + 332 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1744849609 + ... + 1744857191.

It is an arithmetic number, because the mean of its divisors is an integer number (51077637072).

Almost surely, 2^{13231223332200} is an apocalyptic number.

13231223332200 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 13231223332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24517265794560).

13231223332200 is an abundant number, since it is smaller than the sum of its proper divisors (35803308256920).

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

13231223332200 is a wasteful number, since it uses less digits than its factorization.

13231223332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13231223332200 its reverse (223332213231), we get a palindrome (13454555545431).

The spelling of 13231223332200 in words is "thirteen trillion, two hundred thirty-one billion, two hundred twenty-three million, three hundred thirty-two thousand, two hundred".