21313313332212 has 96 divisors (see below), whose sum is σ = 54614698758144. Its totient is φ = 6415414992000.

The previous prime is 21313313332177. The next prime is 21313313332229. The reversal of 21313313332212 is 21223331331312.

It is a super-3 number, since 3×21313313332212³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21313313332212.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 624512293 + ... + 624546419.

It is an arithmetic number, because the mean of its divisors is an integer number (568903112064).

Almost surely, 2^{21313313332212} is an apocalyptic number.

21313313332212 is a gapful number since it is divisible by the number (22) 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 21313313332212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307349379072).

21313313332212 is an abundant number, since it is smaller than the sum of its proper divisors (33301385425932).

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

21313313332212 is a wasteful number, since it uses less digits than its factorization.

21313313332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65629 (or 65627 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 21313313332212 its reverse (21223331331312), we get a palindrome (42536644663524).

Subtracting from 21313313332212 its reverse (21223331331312), we obtain a square (89982000900 = 299970²).

The spelling of 21313313332212 in words is "twenty-one trillion, three hundred thirteen billion, three hundred thirteen million, three hundred thirty-two thousand, two hundred twelve".