21330003313332 has 576 divisors, whose sum is σ = 67967873971200. Its totient is φ = 5760229386240.

The previous prime is 21330003313309. The next prime is 21330003313337. The reversal of 21330003313332 is 23331330003312.

21330003313332 is a `hidden beast` number, since 2 + 13 + 3 + 0 + 0 + 0 + 3 + 313 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21330003313296 and 21330003313305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330003313337) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1918677838 + ... + 1918688954.

It is an arithmetic number, because the mean of its divisors is an integer number (117999781200).

Almost surely, 2^{21330003313332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330003313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33983936985600).

21330003313332 is an abundant number, since it is smaller than the sum of its proper divisors (46637870657868).

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

21330003313332 is a wasteful number, since it uses less digits than its factorization.

21330003313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11461 (or 11446 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 21330003313332 its reverse (23331330003312), we get a palindrome (44661333316644).

The spelling of 21330003313332 in words is "twenty-one trillion, three hundred thirty billion, three million, three hundred thirteen thousand, three hundred thirty-two".