21531334000000 has 224 divisors, whose sum is σ = 58491748952280. Its totient is φ = 7829568000000.

The previous prime is 21531333999971. The next prime is 21531334000069. The reversal of 21531334000000 is 43313512.

21531334000000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21510652 + ... + 22489348.

Almost surely, 2^{21531334000000} is an apocalyptic number.

21531334000000 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 21531334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29245874476140).

21531334000000 is an abundant number, since it is smaller than the sum of its proper divisors (36960414952280).

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

21531334000000 is an frugal number, since it uses more digits than its factorization.

21531334000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978752 (or 978715 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 21531334000000 its reverse (43313512), we get a palindrome (21531377313512).

The spelling of 21531334000000 in words is "twenty-one trillion, five hundred thirty-one billion, three hundred thirty-four million", and thus it is an aban number.