331333414112161 has 2 divisors, whose sum is σ = 331333414112162. Its totient is φ = 331333414112160.

The previous prime is 331333414112147. The next prime is 331333414112167. The reversal of 331333414112161 is 161211414333133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176152354617600 + 155181059494561 = 13272240^2 + 12457169^2 .

It is a cyclic number.

It is not a de Polignac number, because 331333414112161 - 2¹¹ = 331333414110113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331333414112161.

It is not a weakly prime, because it can be changed into another prime (331333414112167) 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, 165666707056080 + 165666707056081.

It is an arithmetic number, because the mean of its divisors is an integer number (165666707056081).

Almost surely, 2^{331333414112161} is an apocalyptic number.

It is an amenable number.

331333414112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

331333414112161 is an equidigital number, since it uses as much as digits as its factorization.

331333414112161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 37.

Adding to 331333414112161 its reverse (161211414333133), we get a palindrome (492544828445294).

The spelling of 331333414112161 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, four hundred fourteen million, one hundred twelve thousand, one hundred sixty-one".