21312101333200 has 120 divisors (see below), whose sum is σ = 54216214362072. Its totient is φ = 8023084892160.

The previous prime is 21312101333191. The next prime is 21312101333213. The reversal of 21312101333200 is 233310121312.

It can be written as a sum of positive squares in 12 ways, for example, as 526744995984 + 20785356337216 = 725772^2 + 4559096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301592272 + ... + 301662928.

Almost surely, 2^{21312101333200} is an apocalyptic number.

21312101333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312101333200 is an abundant number, since it is smaller than the sum of its proper divisors (32904113028872).

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

21312101333200 is a wasteful number, since it uses less digits than its factorization.

21312101333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115049 (or 115038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21312101333200 its reverse (233310121312), we get a palindrome (21545411454512).

The spelling of 21312101333200 in words is "twenty-one trillion, three hundred twelve billion, one hundred one million, three hundred thirty-three thousand, two hundred".