320138540801 has 2 divisors, whose sum is σ = 320138540802. Its totient is φ = 320138540800.

The previous prime is 320138540789. The next prime is 320138540803. The reversal of 320138540801 is 108045831023.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266177573776 + 53960967025 = 515924^2 + 232295^2 .

It is a cyclic number.

It is not a de Polignac number, because 320138540801 - 2⁶ = 320138540737 is a prime.

It is a super-3 number, since 3×320138540801³ (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 320138540803, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (320138540803) 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 as a sum of consecutive naturals, namely, 160069270400 + 160069270401.

It is an arithmetic number, because the mean of its divisors is an integer number (160069270401).

Almost surely, 2^320138540801 is an apocalyptic number.

It is an amenable number.

320138540801 is a deficient number, since it is larger than the sum of its proper divisors (1).

320138540801 is an equidigital number, since it uses as much as digits as its factorization.

320138540801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 320138540801 in words is "three hundred twenty billion, one hundred thirty-eight million, five hundred forty thousand, eight hundred one".