321313320 has 96 divisors (see below), whose sum is σ = 1054726920. Its totient is φ = 84825600.

The previous prime is 321313297. The next prime is 321313327. The reversal of 321313320 is 23313123.

321313320 is a `hidden beast` number, since 32 + 1 + 313 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 307160676 + 14152644 = 17526^2 + 3762^2 .

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 = 321313293 and 321313302.

It is not an unprimeable number, because it can be changed into a prime (321313327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31942 + ... + 40778.

Almost surely, 2^321313320 is an apocalyptic number.

321313320 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 321313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527363460).

321313320 is an abundant number, since it is smaller than the sum of its proper divisors (733413600).

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

321313320 is a wasteful number, since it uses less digits than its factorization.

321313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8948 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 321313320 is about 17925.2146430663. The cubic root of 321313320 is about 684.9248288051.

Adding to 321313320 its reverse (23313123), we get a palindrome (344626443).

The spelling of 321313320 in words is "three hundred twenty-one million, three hundred thirteen thousand, three hundred twenty".