330311120212081 has 2 divisors, whose sum is σ = 330311120212082. Its totient is φ = 330311120212080.

The previous prime is 330311120212079. The next prime is 330311120212133. The reversal of 330311120212081 is 180212021113033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307632657091600 + 22678463120481 = 17539460^2 + 4762191^2 .

It is a cyclic number.

It is not a de Polignac number, because 330311120212081 - 2¹ = 330311120212079 is a prime.

It is a super-2 number, since 2×330311120212081² (a number of 30 digits) contains 22 as substring.

Together with 330311120212079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (330311120212781) 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, 165155560106040 + 165155560106041.

It is an arithmetic number, because the mean of its divisors is an integer number (165155560106041).

Almost surely, 2^{330311120212081} is an apocalyptic number.

It is an amenable number.

330311120212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

330311120212081 is an equidigital number, since it uses as much as digits as its factorization.

330311120212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 330311120212081 in words is "three hundred thirty trillion, three hundred eleven billion, one hundred twenty million, two hundred twelve thousand, eighty-one".