1033304220241 has 2 divisors, whose sum is σ = 1033304220242. Its totient is φ = 1033304220240.

The previous prime is 1033304220199. The next prime is 1033304220253. The reversal of 1033304220241 is 1420224033301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 985125726225 + 48178494016 = 992535^2 + 219496^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033304220241 - 2²⁹ = 1032767349329 is a prime.

It is a super-2 number, since 2×1033304220241² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1033304220041) 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, 516652110120 + 516652110121.

It is an arithmetic number, because the mean of its divisors is an integer number (516652110121).

Almost surely, 2^{1033304220241} is an apocalyptic number.

It is an amenable number.

1033304220241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033304220241 is an equidigital number, since it uses as much as digits as its factorization.

1033304220241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1033304220241 its reverse (1420224033301), we get a palindrome (2453528253542).

The spelling of 1033304220241 in words is "one trillion, thirty-three billion, three hundred four million, two hundred twenty thousand, two hundred forty-one".