323322131221020 has 288 divisors, whose sum is σ = 1030402013921280. Its totient is φ = 81959752765440.

The previous prime is 323322131221007. The next prime is 323322131221021. The reversal of 323322131221020 is 20122131223323.

323322131221020 is a `hidden beast` number, since 3 + 2 + 3 + 322 + 1 + 312 + 2 + 1 + 0 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323322131221021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130747621 + ... + 133197539.

It is an arithmetic number, because the mean of its divisors is an integer number (3577784770560).

Almost surely, 2^{323322131221020} is an apocalyptic number.

323322131221020 is a gapful number since it is divisible by the number (30) 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 323322131221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515201006960640).

323322131221020 is an abundant number, since it is smaller than the sum of its proper divisors (707079882700260).

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

323322131221020 is a wasteful number, since it uses less digits than its factorization.

323322131221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450385 (or 2450380 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 323322131221020 its reverse (20122131223323), we get a palindrome (343444262444343).

The spelling of 323322131221020 in words is "three hundred twenty-three trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred twenty-one thousand, twenty".