314341234311329 has 2 divisors, whose sum is σ = 314341234311330. Its totient is φ = 314341234311328.

The previous prime is 314341234311271. The next prime is 314341234311337. The reversal of 314341234311329 is 923113432143413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166156018583104 + 148185215728225 = 12890152^2 + 12173135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314341234311329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314341234311329.

It is not a weakly prime, because it can be changed into another prime (314341231311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157170617155664 + 157170617155665.

It is an arithmetic number, because the mean of its divisors is an integer number (157170617155665).

Almost surely, 2^{314341234311329} is an apocalyptic number.

It is an amenable number.

314341234311329 is a deficient number, since it is larger than the sum of its proper divisors (1).

314341234311329 is an equidigital number, since it uses as much as digits as its factorization.

314341234311329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 559872, while the sum is 44.

The spelling of 314341234311329 in words is "three hundred fourteen trillion, three hundred forty-one billion, two hundred thirty-four million, three hundred eleven thousand, three hundred twenty-nine".