314312262213413 has 16 divisors (see below), whose sum is σ = 339822622574640. Its totient is φ = 289641216577536.

The previous prime is 314312262213407. The next prime is 314312262213431.

314312262213413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 789393156484 + 313522869056929 = 888478^2 + 17706577^2 .

It is not a de Polignac number, because 314312262213413 - 2¹² = 314312262209317 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 (314312262213113) 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 in 15 ways as a sum of consecutive naturals, for example, 924185378 + ... + 924525411.

It is an arithmetic number, because the mean of its divisors is an integer number (21238913910915).

Almost surely, 2^{314312262213413} is an apocalyptic number.

It is an amenable number.

314312262213413 is a deficient number, since it is larger than the sum of its proper divisors (25510360361227).

314312262213413 is a wasteful number, since it uses less digits than its factorization.

314312262213413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848711016.

The product of its digits is 124416, while the sum is 38.

The spelling of 314312262213413 in words is "three hundred fourteen trillion, three hundred twelve billion, two hundred sixty-two million, two hundred thirteen thousand, four hundred thirteen".