321311121121320 has 384 divisors, whose sum is σ = 1063805998752000. Its totient is φ = 77579435929600.

The previous prime is 321311121121189. The next prime is 321311121121351. The reversal of 321311121121320 is 23121121113123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14338474276 + ... + 14338496684.

It is an arithmetic number, because the mean of its divisors is an integer number (2770328121750).

Almost surely, 2^{321311121121320} is an apocalyptic number.

321311121121320 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 321311121121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531902999376000).

321311121121320 is an abundant number, since it is smaller than the sum of its proper divisors (742494877630680).

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

321311121121320 is a wasteful number, since it uses less digits than its factorization.

321311121121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26385 (or 26370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 321311121121320 its reverse (23121121113123), we get a palindrome (344432242234443).

The spelling of 321311121121320 in words is "three hundred twenty-one trillion, three hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty".