21330313331200 has 480 divisors, whose sum is σ = 57333379625280. Its totient is φ = 7833098649600.

The previous prime is 21330313331191. The next prime is 21330313331227. The reversal of 21330313331200 is 213331303312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13932274435 + ... + 13932275965.

It is an arithmetic number, because the mean of its divisors is an integer number (119444540886).

Almost surely, 2^{21330313331200} is an apocalyptic number.

21330313331200 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 21330313331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28666689812640).

21330313331200 is an abundant number, since it is smaller than the sum of its proper divisors (36003066294080).

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

21330313331200 is a wasteful number, since it uses less digits than its factorization.

21330313331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 21330313331200 its reverse (213331303312), we get a palindrome (21543644634512).

The spelling of 21330313331200 in words is "twenty-one trillion, three hundred thirty billion, three hundred thirteen million, three hundred thirty-one thousand, two hundred".