1003305322241 has 2 divisors, whose sum is σ = 1003305322242. Its totient is φ = 1003305322240.

The previous prime is 1003305322237. The next prime is 1003305322289. The reversal of 1003305322241 is 1422235033001.

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., 909169878016 + 94135444225 = 953504^2 + 306815^2 .

It is an emirp because it is prime and its reverse (1422235033001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003305322241 - 2² = 1003305322237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1003305322241.

It is not a weakly prime, because it can be changed into another prime (1003305322211) 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, 501652661120 + 501652661121.

It is an arithmetic number, because the mean of its divisors is an integer number (501652661121).

Almost surely, 2^{1003305322241} is an apocalyptic number.

It is an amenable number.

1003305322241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003305322241 is an equidigital number, since it uses as much as digits as its factorization.

1003305322241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 1003305322241 in words is "one trillion, three billion, three hundred five million, three hundred twenty-two thousand, two hundred forty-one".