321113320 has 64 divisors (see below), whose sum is σ = 791389440. Its totient is φ = 116294400.

The previous prime is 321113311. The next prime is 321113369. The reversal of 321113320 is 23311123.

It is a super-3 number, since 3×321113320³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 321113294 and 321113303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117894 + ... + 120586.

It is an arithmetic number, because the mean of its divisors is an integer number (12365460).

Almost surely, 2^321113320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395694720).

321113320 is an abundant number, since it is smaller than the sum of its proper divisors (470276120).

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

321113320 is a wasteful number, since it uses less digits than its factorization.

321113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 321113320 is about 17919.6350409265. The cubic root of 321113320 is about 684.7826898720.

Adding to 321113320 its reverse (23311123), we get a palindrome (344424443).

The spelling of 321113320 in words is "three hundred twenty-one million, one hundred thirteen thousand, three hundred twenty".