1004301022313 has 2 divisors, whose sum is σ = 1004301022314. Its totient is φ = 1004301022312.

The previous prime is 1004301022289. The next prime is 1004301022327. The reversal of 1004301022313 is 3132201034001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003356812329 + 944209984 = 1001677^2 + 30728^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004301022313 - 2¹⁰ = 1004301021289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1004301021313) 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, 502150511156 + 502150511157.

It is an arithmetic number, because the mean of its divisors is an integer number (502150511157).

Almost surely, 2^{1004301022313} is an apocalyptic number.

It is an amenable number.

1004301022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004301022313 is an equidigital number, since it uses as much as digits as its factorization.

1004301022313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1004301022313 its reverse (3132201034001), we get a palindrome (4136502056314).

The spelling of 1004301022313 in words is "one trillion, four billion, three hundred one million, twenty-two thousand, three hundred thirteen".