314013430241393 has 2 divisors, whose sum is σ = 314013430241394. Its totient is φ = 314013430241392.

The previous prime is 314013430241341. The next prime is 314013430241419. The reversal of 314013430241393 is 393142034310413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274894509883249 + 39118920358144 = 16579943^2 + 6254512^2 .

It is an emirp because it is prime and its reverse (393142034310413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314013430241393 - 2¹⁰ = 314013430240369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314013430241393.

It is not a weakly prime, because it can be changed into another prime (314013430741393) 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 as a sum of consecutive naturals, namely, 157006715120696 + 157006715120697.

It is an arithmetic number, because the mean of its divisors is an integer number (157006715120697).

Almost surely, 2^{314013430241393} is an apocalyptic number.

It is an amenable number.

314013430241393 is a deficient number, since it is larger than the sum of its proper divisors (1).

314013430241393 is an equidigital number, since it uses as much as digits as its factorization.

314013430241393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 314013430241393 in words is "three hundred fourteen trillion, thirteen billion, four hundred thirty million, two hundred forty-one thousand, three hundred ninety-three".