1305312320321 has 2 divisors, whose sum is σ = 1305312320322. Its totient is φ = 1305312320320.

The previous prime is 1305312320311. The next prime is 1305312320381. The reversal of 1305312320321 is 1230232135031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1303832841025 + 1479479296 = 1141855^2 + 38464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1305312320321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1305312320311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652656160160 + 652656160161.

It is an arithmetic number, because the mean of its divisors is an integer number (652656160161).

Almost surely, 2^{1305312320321} is an apocalyptic number.

It is an amenable number.

1305312320321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305312320321 is an equidigital number, since it uses as much as digits as its factorization.

1305312320321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 1305312320321 its reverse (1230232135031), we get a palindrome (2535544455352).

The spelling of 1305312320321 in words is "one trillion, three hundred five billion, three hundred twelve million, three hundred twenty thousand, three hundred twenty-one".