3033221212033 has 2 divisors, whose sum is σ = 3033221212034. Its totient is φ = 3033221212032.

The previous prime is 3033221212031. The next prime is 3033221212061. The reversal of 3033221212033 is 3302121223303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2166333591409 + 866887620624 = 1471847^2 + 931068^2 .

It is a cyclic number.

It is not a de Polignac number, because 3033221212033 - 2¹ = 3033221212031 is a prime.

It is a super-2 number, since 2×3033221212033² (a number of 26 digits) contains 22 as substring.

Together with 3033221212031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3033221211989 and 3033221212007.

It is not a weakly prime, because it can be changed into another prime (3033221212031) 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, 1516610606016 + 1516610606017.

It is an arithmetic number, because the mean of its divisors is an integer number (1516610606017).

Almost surely, 2^{3033221212033} is an apocalyptic number.

It is an amenable number.

3033221212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3033221212033 is an equidigital number, since it uses as much as digits as its factorization.

3033221212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 3033221212033 its reverse (3302121223303), we get a palindrome (6335342435336).

The spelling of 3033221212033 in words is "three trillion, thirty-three billion, two hundred twenty-one million, two hundred twelve thousand, thirty-three".