201412313341321 has 2 divisors, whose sum is σ = 201412313341322. Its totient is φ = 201412313341320.

The previous prime is 201412313341313. The next prime is 201412313341339. The reversal of 201412313341321 is 123143313214102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127751479398400 + 73660833942921 = 11302720^2 + 8582589^2 .

It is a cyclic number.

It is not a de Polignac number, because 201412313341321 - 2³ = 201412313341313 is a prime.

It is not a weakly prime, because it can be changed into another prime (201412317341321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100706156670660 + 100706156670661.

It is an arithmetic number, because the mean of its divisors is an integer number (100706156670661).

Almost surely, 2^{201412313341321} is an apocalyptic number.

It is an amenable number.

201412313341321 is a deficient number, since it is larger than the sum of its proper divisors (1).

201412313341321 is an equidigital number, since it uses as much as digits as its factorization.

201412313341321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 201412313341321 its reverse (123143313214102), we get a palindrome (324555626555423).

The spelling of 201412313341321 in words is "two hundred one trillion, four hundred twelve billion, three hundred thirteen million, three hundred forty-one thousand, three hundred twenty-one".