133314301312321 has 2 divisors, whose sum is σ = 133314301312322. Its totient is φ = 133314301312320.

The previous prime is 133314301312319. The next prime is 133314301312333. The reversal of 133314301312321 is 123213103413331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116693228471296 + 16621072841025 = 10802464^2 + 4076895^2 .

It is a cyclic number.

It is not a de Polignac number, because 133314301312321 - 2¹ = 133314301312319 is a prime.

Together with 133314301312319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133314301312391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66657150656160 + 66657150656161.

It is an arithmetic number, because the mean of its divisors is an integer number (66657150656161).

Almost surely, 2^{133314301312321} is an apocalyptic number.

It is an amenable number.

133314301312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133314301312321 is an equidigital number, since it uses as much as digits as its factorization.

133314301312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 133314301312321 its reverse (123213103413331), we get a palindrome (256527404725652).

The spelling of 133314301312321 in words is "one hundred thirty-three trillion, three hundred fourteen billion, three hundred one million, three hundred twelve thousand, three hundred twenty-one".