321820123220041 has 2 divisors, whose sum is σ = 321820123220042. Its totient is φ = 321820123220040.

The previous prime is 321820123220039. The next prime is 321820123220047. The reversal of 321820123220041 is 140022321028123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193930690810000 + 127889432410041 = 13925900^2 + 11308821^2 .

It is an emirp because it is prime and its reverse (140022321028123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321820123220041 - 2¹ = 321820123220039 is a prime.

Together with 321820123220039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 321820123219985 and 321820123220012.

It is not a weakly prime, because it can be changed into another prime (321820123220047) 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, 160910061610020 + 160910061610021.

It is an arithmetic number, because the mean of its divisors is an integer number (160910061610021).

Almost surely, 2^{321820123220041} is an apocalyptic number.

It is an amenable number.

321820123220041 is a deficient number, since it is larger than the sum of its proper divisors (1).

321820123220041 is an equidigital number, since it uses as much as digits as its factorization.

321820123220041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 321820123220041 its reverse (140022321028123), we get a palindrome (461842444248164).

The spelling of 321820123220041 in words is "three hundred twenty-one trillion, eight hundred twenty billion, one hundred twenty-three million, two hundred twenty thousand, forty-one".