21213320300320 has 192 divisors, whose sum is σ = 51653137536000. Its totient is φ = 8228223360000.

The previous prime is 21213320300309. The next prime is 21213320300339. The reversal of 21213320300320 is 2300302331212.

It is a super-2 number, since 2×21213320300320² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21213320300291 and 21213320300300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537039931 + ... + 537079429.

It is an arithmetic number, because the mean of its divisors is an integer number (269026758000).

Almost surely, 2^{21213320300320} is an apocalyptic number.

21213320300320 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 21213320300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25826568768000).

21213320300320 is an abundant number, since it is smaller than the sum of its proper divisors (30439817235680).

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

21213320300320 is a wasteful number, since it uses less digits than its factorization.

21213320300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40119 (or 40111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 21213320300320 its reverse (2300302331212), we get a palindrome (23513622631532).

The spelling of 21213320300320 in words is "twenty-one trillion, two hundred thirteen billion, three hundred twenty million, three hundred thousand, three hundred twenty".