320000321313 has 12 divisors (see below), whose sum is σ = 466799149908. Its totient is φ = 211221333600.

The previous prime is 320000321293. The next prime is 320000321317. The reversal of 320000321313 is 313123000023.

320000321313 is a `hidden beast` number, since 32 + 0 + 0 + 0 + 0 + 321 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151249432464 + 168750888849 = 388908^2 + 410793^2 .

It is not a de Polignac number, because 320000321313 - 2²⁶ = 319933212449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320000321317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176016870 + ... + 176018687.

It is an arithmetic number, because the mean of its divisors is an integer number (38899929159).

Almost surely, 2^320000321313 is an apocalyptic number.

It is an amenable number.

320000321313 is a deficient number, since it is larger than the sum of its proper divisors (146798828595).

320000321313 is a wasteful number, since it uses less digits than its factorization.

320000321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352035664 (or 352035661 counting only the distinct ones).

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

Adding to 320000321313 its reverse (313123000023), we get a palindrome (633123321336).

The spelling of 320000321313 in words is "three hundred twenty billion, three hundred twenty-one thousand, three hundred thirteen".