330313216122133 has 2 divisors, whose sum is σ = 330313216122134. Its totient is φ = 330313216122132.

The previous prime is 330313216122031. The next prime is 330313216122157. The reversal of 330313216122133 is 331221612313033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327056844292369 + 3256371829764 = 18084713^2 + 1804542^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-330313216122133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330313216122733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156608061066 + 165156608061067.

It is an arithmetic number, because the mean of its divisors is an integer number (165156608061067).

Almost surely, 2^{330313216122133} is an apocalyptic number.

It is an amenable number.

330313216122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313216122133 is an equidigital number, since it uses as much as digits as its factorization.

330313216122133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 34.

Adding to 330313216122133 its reverse (331221612313033), we get a palindrome (661534828435166).

The spelling of 330313216122133 in words is "three hundred thirty trillion, three hundred thirteen billion, two hundred sixteen million, one hundred twenty-two thousand, one hundred thirty-three".