320006138321 has 2 divisors, whose sum is σ = 320006138322. Its totient is φ = 320006138320.

The previous prime is 320006138261. The next prime is 320006138323. The reversal of 320006138321 is 123831600023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236866182721 + 83139955600 = 486689^2 + 288340^2 .

It is an emirp because it is prime and its reverse (123831600023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 320006138321 - 2³⁸ = 45128231377 is a prime.

Together with 320006138323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (320006138323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160003069160 + 160003069161.

It is an arithmetic number, because the mean of its divisors is an integer number (160003069161).

Almost surely, 2^320006138321 is an apocalyptic number.

It is an amenable number.

320006138321 is a deficient number, since it is larger than the sum of its proper divisors (1).

320006138321 is an equidigital number, since it uses as much as digits as its factorization.

320006138321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 320006138321 its reverse (123831600023), we get a palindrome (443837738344).

The spelling of 320006138321 in words is "three hundred twenty billion, six million, one hundred thirty-eight thousand, three hundred twenty-one".