331133304134041 has 2 divisors, whose sum is σ = 331133304134042. Its totient is φ = 331133304134040.

The previous prime is 331133304133999. The next prime is 331133304134047. The reversal of 331133304134041 is 140431403331133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211248783360000 + 119884520774041 = 14534400^2 + 10949179^2 .

It is an emirp because it is prime and its reverse (140431403331133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331133304134041 - 2¹⁹ = 331133303609753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331133304133988 and 331133304134006.

It is not a weakly prime, because it can be changed into another prime (331133304134047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566652067020 + 165566652067021.

It is an arithmetic number, because the mean of its divisors is an integer number (165566652067021).

Almost surely, 2^{331133304134041} is an apocalyptic number.

It is an amenable number.

331133304134041 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133304134041 is an equidigital number, since it uses as much as digits as its factorization.

331133304134041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 331133304134041 its reverse (140431403331133), we get a palindrome (471564707465174).

The spelling of 331133304134041 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three hundred four million, one hundred thirty-four thousand, forty-one".