21332333323312 has 80 divisors (see below), whose sum is σ = 45556206216192. Its totient is φ = 9596008028160.

The previous prime is 21332333323277. The next prime is 21332333323319.

21332333323312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21332333323319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592431613 + ... + 592467619.

Almost surely, 2^{21332333323312} is an apocalyptic number.

21332333323312 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 21332333323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22778103108096).

21332333323312 is an abundant number, since it is smaller than the sum of its proper divisors (24223872892880).

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

21332333323312 is a wasteful number, since it uses less digits than its factorization.

21332333323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70826 (or 70820 counting only the distinct ones).

The product of its digits is 104976, while the sum is 34.

It can be divided in two parts, 2133233 and 3323312, that added together give a palindrome (5456545).

The spelling of 21332333323312 in words is "twenty-one trillion, three hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, three hundred twelve".