13331131222200 has 240 divisors, whose sum is σ = 45458905157400. Its totient is φ = 3231787257600.

The previous prime is 13331131222187. The next prime is 13331131222219. The reversal of 13331131222200 is 222213113331.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8025822 + ... + 9543378.

Almost surely, 2^{13331131222200} is an apocalyptic number.

13331131222200 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 13331131222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729452578700).

13331131222200 is an abundant number, since it is smaller than the sum of its proper divisors (32127773935200).

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

13331131222200 is a wasteful number, since it uses less digits than its factorization.

13331131222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517620 (or 1517578 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13331131222200 its reverse (222213113331), we get a palindrome (13553344335531).

The spelling of 13331131222200 in words is "thirteen trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred twenty-two thousand, two hundred".