314123222321413 has 8 divisors (see below), whose sum is σ = 314445603042648. Its totient is φ = 313801003160064.

The previous prime is 314123222321401. The next prime is 314123222321437.

314123222321413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4818648400164 + 309304573921249 = 2195142^2 + 17587057^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314123222321413 - 2⁴¹ = 311924199065861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314123222321113) 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 in 7 ways as a sum of consecutive naturals, for example, 36499156 + ... + 44276797.

It is an arithmetic number, because the mean of its divisors is an integer number (39305700380331).

Almost surely, 2^{314123222321413} is an apocalyptic number.

It is an amenable number.

314123222321413 is a deficient number, since it is larger than the sum of its proper divisors (322380721235).

314123222321413 is a wasteful number, since it uses less digits than its factorization.

314123222321413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80779943.

The product of its digits is 41472, while the sum is 34.

The spelling of 314123222321413 in words is "three hundred fourteen trillion, one hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-one thousand, four hundred thirteen".