21001303120320 has 336 divisors, whose sum is σ = 73759854898080. Its totient is φ = 5483304419328.

The previous prime is 21001303120181. The next prime is 21001303120333. The reversal of 21001303120320 is 2302130310012.

21001303120320 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 1 + 30 + 312 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21001303120293 and 21001303120302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28438311 + ... + 29167449.

Almost surely, 2^{21001303120320} is an apocalyptic number.

21001303120320 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 21001303120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36879927449040).

21001303120320 is an abundant number, since it is smaller than the sum of its proper divisors (52758551777760).

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

21001303120320 is a wasteful number, since it uses less digits than its factorization.

21001303120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729372 (or 729359 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21001303120320 its reverse (2302130310012), we get a palindrome (23303433430332).

The spelling of 21001303120320 in words is "twenty-one trillion, one billion, three hundred three million, one hundred twenty thousand, three hundred twenty".