21314355132000 has 768 divisors, whose sum is σ = 86089672101888. Its totient is φ = 4498742476800.

The previous prime is 21314355131999. The next prime is 21314355132019. The reversal of 21314355132000 is 23155341312.

21314355132000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21314355132000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 75543189 + ... + 75824811.

It is an arithmetic number, because the mean of its divisors is an integer number (112095927216).

Almost surely, 2^{21314355132000} is an apocalyptic number.

21314355132000 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 21314355132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43044836050944).

21314355132000 is an abundant number, since it is smaller than the sum of its proper divisors (64775316969888).

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

21314355132000 is a wasteful number, since it uses less digits than its factorization.

21314355132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281728 (or 281710 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 21314355132000 in words is "twenty-one trillion, three hundred fourteen billion, three hundred fifty-five million, one hundred thirty-two thousand".