21313020121200 has 600 divisors, whose sum is σ = 77415015300480. Its totient is φ = 5615039232000.

The previous prime is 21313020121123. The next prime is 21313020121249. The reversal of 21313020121200 is 212102031312.

21313020121200 is a `hidden beast` number, since 213 + 1 + 30 + 201 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1567472802 + ... + 1567486398.

Almost surely, 2^{21313020121200} is an apocalyptic number.

21313020121200 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 21313020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707507650240).

21313020121200 is an abundant number, since it is smaller than the sum of its proper divisors (56101995179280).

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

21313020121200 is a wasteful number, since it uses less digits than its factorization.

21313020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14207 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21313020121200 its reverse (212102031312), we get a palindrome (21525122152512).

The spelling of 21313020121200 in words is "twenty-one trillion, three hundred thirteen billion, twenty million, one hundred twenty-one thousand, two hundred".