1306313 has 2 divisors, whose sum is σ = 1306314. Its totient is φ = 1306312.

The previous prime is 1306289. The next prime is 1306339. The reversal of 1306313 is 3136031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006009 + 300304 = 1003^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306313 - 2¹⁰ = 1305289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1306291 and 1306300.

It is not a weakly prime, because it can be changed into another prime (1306343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653156 + 653157.

It is an arithmetic number, because the mean of its divisors is an integer number (653157).

2^1306313 is an apocalyptic number.

It is an amenable number.

1306313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306313 is an equidigital number, since it uses as much as digits as its factorization.

1306313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 1306313 is about 1142.9405058882. The cubic root of 1306313 is about 109.3156688280.

The spelling of 1306313 in words is "one million, three hundred six thousand, three hundred thirteen".