316305446113441 has 2 divisors, whose sum is σ = 316305446113442. Its totient is φ = 316305446113440.

The previous prime is 316305446113387. The next prime is 316305446113483. The reversal of 316305446113441 is 144311644503613.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250912411246225 + 65393034867216 = 15840215^2 + 8086596^2 .

It is an emirp because it is prime and its reverse (144311644503613) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 316305446113441 - 2²⁵ = 316305412559009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 316305446113391 and 316305446113400.

It is not a weakly prime, because it can be changed into another prime (316305446111441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158152723056720 + 158152723056721.

It is an arithmetic number, because the mean of its divisors is an integer number (158152723056721).

Almost surely, 2^{316305446113441} is an apocalyptic number.

It is an amenable number.

316305446113441 is a deficient number, since it is larger than the sum of its proper divisors (1).

316305446113441 is an equidigital number, since it uses as much as digits as its factorization.

316305446113441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 316305446113441 in words is "three hundred sixteen trillion, three hundred five billion, four hundred forty-six million, one hundred thirteen thousand, four hundred forty-one".