13333221010200 has 384 divisors, whose sum is σ = 52246276024320. Its totient is φ = 2737131264000.

The previous prime is 13333221010177. The next prime is 13333221010217. The reversal of 13333221010200 is 201012233331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1279776 + ... + 5320175.

It is an arithmetic number, because the mean of its divisors is an integer number (136058010480).

Almost surely, 2^{13333221010200} is an apocalyptic number.

13333221010200 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 13333221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123138012160).

13333221010200 is an abundant number, since it is smaller than the sum of its proper divisors (38913055014120).

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

13333221010200 is a wasteful number, since it uses less digits than its factorization.

13333221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600027 (or 6600018 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13333221010200 its reverse (201012233331), we get a palindrome (13534233243531).

The spelling of 13333221010200 in words is "thirteen trillion, three hundred thirty-three billion, two hundred twenty-one million, ten thousand, two hundred".