321300313000 has 64 divisors (see below), whose sum is σ = 770180458320. Its totient is φ = 125385472000.

The previous prime is 321300312967. The next prime is 321300313027. The reversal of 321300313000 is 313003123.

It can be written as a sum of positive squares in 8 ways, for example, as 1923875044 + 319376437956 = 43862^2 + 565134^2 .

It is a super-2 number, since 2×321300313000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877297 + ... + 3959296.

Almost surely, 2^321300313000 is an apocalyptic number.

It is an amenable number.

321300313000 is an abundant number, since it is smaller than the sum of its proper divisors (448880145320).

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

321300313000 is a wasteful number, since it uses less digits than its factorization.

321300313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836655 (or 7836641 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 321300313000 its reverse (313003123), we get a palindrome (321613316123).

The spelling of 321300313000 in words is "three hundred twenty-one billion, three hundred million, three hundred thirteen thousand".