21333111133312 has 64 divisors (see below), whose sum is σ = 46822194892800. Its totient is φ = 9600860032000.

The previous prime is 21333111133297. The next prime is 21333111133363.

It is a happy number.

21333111133312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74864512 + ... + 75148927.

It is an arithmetic number, because the mean of its divisors is an integer number (731596795200).

Almost surely, 2^{21333111133312} is an apocalyptic number.

21333111133312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21333111133312 is an abundant number, since it is smaller than the sum of its proper divisors (25489083759488).

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

21333111133312 is a wasteful number, since it uses less digits than its factorization.

21333111133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150013565 (or 150013553 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 2133311 and 1133312, that added together give a palindrome (3266623).

The spelling of 21333111133312 in words is "twenty-one trillion, three hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, three hundred twelve".