330323131120033 has 2 divisors, whose sum is σ = 330323131120034. Its totient is φ = 330323131120032.

The previous prime is 330323131120013. The next prime is 330323131120051. The reversal of 330323131120033 is 330021131323033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318780206409889 + 11542924710144 = 17854417^2 + 3397488^2 .

It is an emirp because it is prime and its reverse (330021131323033) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-330323131120033 is a prime.

It is a super-2 number, since 2×330323131120033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330323131119983 and 330323131120010.

It is not a weakly prime, because it can be changed into another prime (330323131120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165161565560016 + 165161565560017.

It is an arithmetic number, because the mean of its divisors is an integer number (165161565560017).

Almost surely, 2^{330323131120033} is an apocalyptic number.

It is an amenable number.

330323131120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

330323131120033 is an equidigital number, since it uses as much as digits as its factorization.

330323131120033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 330323131120033 its reverse (330021131323033), we get a palindrome (660344262443066).

The spelling of 330323131120033 in words is "three hundred thirty trillion, three hundred twenty-three billion, one hundred thirty-one million, one hundred twenty thousand, thirty-three".