1413305321 has 2 divisors, whose sum is σ = 1413305322. Its totient is φ = 1413305320.

The previous prime is 1413305297. The next prime is 1413305347. The reversal of 1413305321 is 1235033141.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1355712400 + 57592921 = 36820^2 + 7589^2 .

It is an emirp because it is prime and its reverse (1235033141) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1413305321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1413305371) 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, 706652660 + 706652661.

It is an arithmetic number, because the mean of its divisors is an integer number (706652661).

Almost surely, 2^1413305321 is an apocalyptic number.

It is an amenable number.

1413305321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1413305321 is an equidigital number, since it uses as much as digits as its factorization.

1413305321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1413305321 is about 37593.9532504896. The cubic root of 1413305321 is about 1122.2217062991.

Adding to 1413305321 its reverse (1235033141), we get a palindrome (2648338462).

The spelling of 1413305321 in words is "one billion, four hundred thirteen million, three hundred five thousand, three hundred twenty-one".