1003320413 has 2 divisors, whose sum is σ = 1003320414. Its totient is φ = 1003320412.

The previous prime is 1003320401. The next prime is 1003320427. The reversal of 1003320413 is 3140233001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 711662329 + 291658084 = 26677^2 + 17078^2 .

It is an emirp because it is prime and its reverse (3140233001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003320413 - 2⁴ = 1003320397 is a prime.

It is a super-2 number, since 2×1003320413² = 2013303702284981138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003320391 and 1003320400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003320473) 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, 501660206 + 501660207.

It is an arithmetic number, because the mean of its divisors is an integer number (501660207).

Almost surely, 2^1003320413 is an apocalyptic number.

It is an amenable number.

1003320413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003320413 is an equidigital number, since it uses as much as digits as its factorization.

1003320413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1003320413 is about 31675.2334324469. The cubic root of 1003320413 is about 1001.1055815723.

Adding to 1003320413 its reverse (3140233001), we get a palindrome (4143553414).

The spelling of 1003320413 in words is "one billion, three million, three hundred twenty thousand, four hundred thirteen".