1006303313 has 2 divisors, whose sum is σ = 1006303314. Its totient is φ = 1006303312.

The previous prime is 1006303301. The next prime is 1006303349. The reversal of 1006303313 is 3133036001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990486784 + 15816529 = 31472^2 + 3977^2 .

It is an emirp because it is prime and its reverse (3133036001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006303313 - 2⁴ = 1006303297 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006303373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503151656 + 503151657.

It is an arithmetic number, because the mean of its divisors is an integer number (503151657).

Almost surely, 2^1006303313 is an apocalyptic number.

It is an amenable number.

1006303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006303313 is an equidigital number, since it uses as much as digits as its factorization.

1006303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1006303313 is about 31722.2841705953. The cubic root of 1006303313 is about 1002.0967050886.

Adding to 1006303313 its reverse (3133036001), we get a palindrome (4139339314).

The spelling of 1006303313 in words is "one billion, six million, three hundred three thousand, three hundred thirteen".