21133331023200 has 144 divisors (see below), whose sum is σ = 75042537345216. Its totient is φ = 5123231756800.

The previous prime is 21133331023169. The next prime is 21133331023223. The reversal of 21133331023200 is 232013333112.

It is a super-2 number, since 2×21133331023200² (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 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 23 ways as a sum of consecutive naturals, for example, 400226082 + ... + 400278881.

It is an arithmetic number, because the mean of its divisors is an integer number (521128731564).

Almost surely, 2^{21133331023200} is an apocalyptic number.

21133331023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21133331023200 is an abundant number, since it is smaller than the sum of its proper divisors (53909206322016).

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

21133331023200 is a wasteful number, since it uses less digits than its factorization.

21133331023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800504997 (or 800504984 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 21133331023200 its reverse (232013333112), we get a palindrome (21365344356312).

The spelling of 21133331023200 in words is "twenty-one trillion, one hundred thirty-three billion, three hundred thirty-one million, twenty-three thousand, two hundred".