13213133212200 has 192 divisors, whose sum is σ = 43160980377600. Its totient is φ = 3334614163200.

The previous prime is 13213133212121. The next prime is 13213133212229. The reversal of 13213133212200 is 221233131231.

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 47 ways as a sum of consecutive naturals, for example, 10472569 + ... + 11666231.

It is an arithmetic number, because the mean of its divisors is an integer number (224796772800).

Almost surely, 2^{13213133212200} is an apocalyptic number.

13213133212200 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 13213133212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21580490188800).

13213133212200 is an abundant number, since it is smaller than the sum of its proper divisors (29947847165400).

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

13213133212200 is a wasteful number, since it uses less digits than its factorization.

13213133212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194672 (or 1194663 counting only the distinct ones).

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

Adding to 13213133212200 its reverse (221233131231), we get a palindrome (13434366343431).

The spelling of 13213133212200 in words is "thirteen trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred twelve thousand, two hundred".