314313020313413 has 12 divisors (see below), whose sum is σ = 348905198734764. Its totient is φ = 282910009272000.

The previous prime is 314313020313389. The next prime is 314313020313427.

It is a happy number.

314313020313413 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 130612486530724 + 183700533782689 = 11428582^2 + 13553617^2 .

It is not a de Polignac number, because 314313020313413 - 2²⁴ = 314313003536197 is a prime.

It is a super-3 number, since 3×314313020313413³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314313020313413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314313020313463) 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 11 ways as a sum of consecutive naturals, for example, 12859533656 + ... + 12859558097.

It is an arithmetic number, because the mean of its divisors is an integer number (29075433227897).

Almost surely, 2^{314313020313413} is an apocalyptic number.

It is an amenable number.

314313020313413 is a deficient number, since it is larger than the sum of its proper divisors (34592178421351).

314313020313413 is a wasteful number, since it uses less digits than its factorization.

314313020313413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719091876 (or 25719091865 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 314313020313413 in words is "three hundred fourteen trillion, three hundred thirteen billion, twenty million, three hundred thirteen thousand, four hundred thirteen".