21312002320200 has 72 divisors (see below), whose sum is σ = 71572807798050. Its totient is φ = 5683200618240.

The previous prime is 21312002320183. The next prime is 21312002320201. The reversal of 21312002320200 is 202320021312.

21312002320200 is a `hidden beast` number, since 2 + 1 + 31 + 200 + 232 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19231259539716 + 2080742780484 = 4385346^2 + 1442478^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (21312002320201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5919998845 + ... + 5920002444.

Almost surely, 2^{21312002320200} is an apocalyptic number.

21312002320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312002320200 is an abundant number, since it is smaller than the sum of its proper divisors (50260805477850).

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

21312002320200 is a wasteful number, since it uses less digits than its factorization.

21312002320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840001311 (or 11840001299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21312002320200 its reverse (202320021312), we get a palindrome (21514322341512).

The spelling of 21312002320200 in words is "twenty-one trillion, three hundred twelve billion, two million, three hundred twenty thousand, two hundred".