21332313000 has 576 divisors, whose sum is σ = 78270051600. Its totient is φ = 5230310400.

The previous prime is 21332312983. The next prime is 21332313043. The reversal of 21332313000 is 31323312.

21332313000 is a `hidden beast` number, since 2 + 1 + 332 + 31 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3540488004 + 17791824996 = 59502^2 + 133386^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 453878977 + ... + 453879023.

Almost surely, 2^21332313000 is an apocalyptic number.

21332313000 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 21332313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39135025800).

21332313000 is an abundant number, since it is smaller than the sum of its proper divisors (56937738600).

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

21332313000 is a wasteful number, since it uses less digits than its factorization.

21332313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 123 counting only the distinct ones).

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

Adding to 21332313000 its reverse (31323312), we get a palindrome (21363636312).

The spelling of 21332313000 in words is "twenty-one billion, three hundred thirty-two million, three hundred thirteen thousand".