21213312212300 has 144 divisors (see below), whose sum is σ = 49871873620800. Its totient is φ = 7785658137600.

The previous prime is 21213312212291. The next prime is 21213312212353. The reversal of 21213312212300 is 321221331212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153449210 + ... + 153587390.

It is an arithmetic number, because the mean of its divisors is an integer number (346332455700).

Almost surely, 2^{21213312212300} is an apocalyptic number.

21213312212300 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 21213312212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935936810400).

21213312212300 is an abundant number, since it is smaller than the sum of its proper divisors (28658561408500).

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

21213312212300 is a wasteful number, since it uses less digits than its factorization.

21213312212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138916 (or 138909 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21213312212300 its reverse (321221331212), we get a palindrome (21534533543512).

The spelling of 21213312212300 in words is "twenty-one trillion, two hundred thirteen billion, three hundred twelve million, two hundred twelve thousand, three hundred".