21133332000 has 384 divisors, whose sum is σ = 83923257600. Its totient is φ = 5122944000.

The previous prime is 21133331993. The next prime is 21133332001. The reversal of 21133332000 is 23333112.

21133332000 is a `hidden beast` number, since 2 + 11 + 333 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21133332001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1179106 + ... + 1196894.

It is an arithmetic number, because the mean of its divisors is an integer number (218550150).

Almost surely, 2^21133332000 is an apocalyptic number.

21133332000 is a gapful number since it is divisible by the number (20) 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 21133332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41961628800).

21133332000 is an abundant number, since it is smaller than the sum of its proper divisors (62789925600).

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

21133332000 is a wasteful number, since it uses less digits than its factorization.

21133332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17834 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21133332000 its reverse (23333112), we get a palindrome (21156665112).

The spelling of 21133332000 in words is "twenty-one billion, one hundred thirty-three million, three hundred thirty-two thousand".