330311120212133 has 2 divisors, whose sum is σ = 330311120212134. Its totient is φ = 330311120212132.

The previous prime is 330311120212081. The next prime is 330311120212247. The reversal of 330311120212133 is 331212021113033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 171267291869569 + 159043828342564 = 13086913^2 + 12611258^2 .

It is an emirp because it is prime and its reverse (331212021113033) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-330311120212133 is a prime.

It is a super-2 number, since 2×330311120212133² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330311020212133) 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, 165155560106066 + 165155560106067.

It is an arithmetic number, because the mean of its divisors is an integer number (165155560106067).

Almost surely, 2^{330311120212133} is an apocalyptic number.

It is an amenable number.

330311120212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

330311120212133 is an equidigital number, since it uses as much as digits as its factorization.

330311120212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 330311120212133 its reverse (331212021113033), we get a palindrome (661523141325166).

The spelling of 330311120212133 in words is "three hundred thirty trillion, three hundred eleven billion, one hundred twenty million, two hundred twelve thousand, one hundred thirty-three".