1000306313 has 2 divisors, whose sum is σ = 1000306314. Its totient is φ = 1000306312.

The previous prime is 1000306303. The next prime is 1000306327. The reversal of 1000306313 is 3136030001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980128249 + 20178064 = 31307^2 + 4492^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000306313 - 2¹⁰ = 1000305289 is a prime.

It is a super-2 number, since 2×1000306313² = 2001225439655307938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000306291 and 1000306300.

It is not a weakly prime, because it can be changed into another prime (1000306303) 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, 500153156 + 500153157.

It is an arithmetic number, because the mean of its divisors is an integer number (500153157).

Almost surely, 2^1000306313 is an apocalyptic number.

It is an amenable number.

1000306313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000306313 is an equidigital number, since it uses as much as digits as its factorization.

1000306313 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 1000306313 is about 31627.6194646388. The cubic root of 1000306313 is about 1000.1020939098.

Adding to 1000306313 its reverse (3136030001), we get a palindrome (4136336314).

The spelling of 1000306313 in words is "one billion, three hundred six thousand, three hundred thirteen".