21131142320000 has 320 divisors, whose sum is σ = 54461276812800. Its totient is φ = 8154596352000.

The previous prime is 21131142319999. The next prime is 21131142320021. The reversal of 21131142320000 is 2324113112.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3858157262 + ... + 3858162738.

It is an arithmetic number, because the mean of its divisors is an integer number (170191490040).

Almost surely, 2^{21131142320000} is an apocalyptic number.

21131142320000 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 21131142320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230638406400).

21131142320000 is an abundant number, since it is smaller than the sum of its proper divisors (33330134492800).

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

21131142320000 is an equidigital number, since it uses as much as digits as its factorization.

21131142320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7203 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21131142320000 its reverse (2324113112), we get a palindrome (21133466433112).

The spelling of 21131142320000 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred forty-two million, three hundred twenty thousand".