1004313313 has 2 divisors, whose sum is σ = 1004313314. Its totient is φ = 1004313312.

The previous prime is 1004313307. The next prime is 1004313319. The reversal of 1004313313 is 3133134001.

It is a balanced prime because it is at equal distance from previous prime (1004313307) and next prime (1004313319).

It can be written as a sum of positive squares in only one way, i.e., 962426529 + 41886784 = 31023^2 + 6472^2 .

It is an emirp because it is prime and its reverse (3133134001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004313313 - 2⁹ = 1004312801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004313319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502156656 + 502156657.

It is an arithmetic number, because the mean of its divisors is an integer number (502156657).

Almost surely, 2^1004313313 is an apocalyptic number.

It is an amenable number.

1004313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004313313 is an equidigital number, since it uses as much as digits as its factorization.

1004313313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1004313313 is about 31690.9026851556. The cubic root of 1004313313 is about 1001.4357087539.

Adding to 1004313313 its reverse (3133134001), we get a palindrome (4137447314).

The spelling of 1004313313 in words is "one billion, four million, three hundred thirteen thousand, three hundred thirteen".