321312003320 has 128 divisors (see below), whose sum is σ = 901639987200. Its totient is φ = 100116172800.

The previous prime is 321312003319. The next prime is 321312003329. The reversal of 321312003320 is 23300213123.

It is a super-3 number, since 3×321312003320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321312003292 and 321312003301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321312003329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10336361 + ... + 10367399.

It is an arithmetic number, because the mean of its divisors is an integer number (7044062400).

Almost surely, 2^321312003320 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 321312003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450819993600).

321312003320 is an abundant number, since it is smaller than the sum of its proper divisors (580327983880).

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

321312003320 is a wasteful number, since it uses less digits than its factorization.

321312003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429 (or 34425 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 321312003320 its reverse (23300213123), we get a palindrome (344612216443).

The spelling of 321312003320 in words is "three hundred twenty-one billion, three hundred twelve million, three thousand, three hundred twenty".