21213131220000 has 360 divisors, whose sum is σ = 75798513570780. Its totient is φ = 5625573120000.

The previous prime is 21213131219993. The next prime is 21213131220037. The reversal of 21213131220000 is 2213131212.

21213131220000 is a `hidden beast` number, since 2 + 121 + 31 + 312 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 6740067514896 + 14473063705104 = 2596164^2 + 3804348^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32254446 + ... + 32905554.

Almost surely, 2^{21213131220000} is an apocalyptic number.

21213131220000 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 21213131220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37899256785390).

21213131220000 is an abundant number, since it is smaller than the sum of its proper divisors (54585382350780).

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

21213131220000 is a wasteful number, since it uses less digits than its factorization.

21213131220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651326 (or 651300 counting only the distinct ones).

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

Adding to 21213131220000 its reverse (2213131212), we get a palindrome (21215344351212).

The spelling of 21213131220000 in words is "twenty-one trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred twenty thousand".