1321000322401 has 2 divisors, whose sum is σ = 1321000322402. Its totient is φ = 1321000322400.

The previous prime is 1321000322399. The next prime is 1321000322431. The reversal of 1321000322401 is 1042230001231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1242277430625 + 78722891776 = 1114575^2 + 280576^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321000322401 - 2¹ = 1321000322399 is a prime.

Together with 1321000322399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1321000322431) 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, 660500161200 + 660500161201.

It is an arithmetic number, because the mean of its divisors is an integer number (660500161201).

Almost surely, 2^{1321000322401} is an apocalyptic number.

It is an amenable number.

1321000322401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321000322401 is an equidigital number, since it uses as much as digits as its factorization.

1321000322401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1321000322401 its reverse (1042230001231), we get a palindrome (2363230323632).

The spelling of 1321000322401 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-two thousand, four hundred one".