21013312303200 has 1152 divisors, whose sum is σ = 80033437532160. Its totient is φ = 4690383667200.

The previous prime is 21013312303187. The next prime is 21013312303211. The reversal of 21013312303200 is 230321331012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63484327035 + ... + 63484327365.

It is an arithmetic number, because the mean of its divisors is an integer number (69473470080).

Almost surely, 2^{21013312303200} is an apocalyptic number.

21013312303200 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 21013312303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40016718766080).

21013312303200 is an abundant number, since it is smaller than the sum of its proper divisors (59020125228960).

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

21013312303200 is a wasteful number, since it uses less digits than its factorization.

21013312303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21013312303200 its reverse (230321331012), we get a palindrome (21243633634212).

The spelling of 21013312303200 in words is "twenty-one trillion, thirteen billion, three hundred twelve million, three hundred three thousand, two hundred".