21313011321000 has 384 divisors, whose sum is σ = 84554238562560. Its totient is φ = 4739881536000.

The previous prime is 21313011320959. The next prime is 21313011321001. The reversal of 21313011321000 is 12311031312.

21313011321000 is a `hidden beast` number, since 2 + 131 + 301 + 132 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21313011321001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2240646 + ... + 6902645.

It is an arithmetic number, because the mean of its divisors is an integer number (220193329590).

Almost surely, 2^{21313011321000} is an apocalyptic number.

21313011321000 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 21313011321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42277119281280).

21313011321000 is an abundant number, since it is smaller than the sum of its proper divisors (63241227241560).

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

21313011321000 is a wasteful number, since it uses less digits than its factorization.

21313011321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143362 (or 9143345 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21313011321000 its reverse (12311031312), we get a palindrome (21325322352312).

The spelling of 21313011321000 in words is "twenty-one trillion, three hundred thirteen billion, eleven million, three hundred twenty-one thousand".