1004221313 has 2 divisors, whose sum is σ = 1004221314. Its totient is φ = 1004221312.

The previous prime is 1004221301. The next prime is 1004221319. The reversal of 1004221313 is 3131224001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 914881009 + 89340304 = 30247^2 + 9452^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1004221313 is a prime.

It is a super-3 number, since 3×1004221313³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1004221291 and 1004221300.

It is not a weakly prime, because it can be changed into another prime (1004221319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502110656 + 502110657.

It is an arithmetic number, because the mean of its divisors is an integer number (502110657).

Almost surely, 2^1004221313 is an apocalyptic number.

It is an amenable number.

1004221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004221313 is an equidigital number, since it uses as much as digits as its factorization.

1004221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1004221313 is about 31689.4511312519. The cubic root of 1004221313 is about 1001.4051290210.

Adding to 1004221313 its reverse (3131224001), we get a palindrome (4135445314).

The spelling of 1004221313 in words is "one billion, four million, two hundred twenty-one thousand, three hundred thirteen".