331033301102041 has 2 divisors, whose sum is σ = 331033301102042. Its totient is φ = 331033301102040.

The previous prime is 331033301101967. The next prime is 331033301102099. The reversal of 331033301102041 is 140201103330133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236064787360000 + 94968513742041 = 15364400^2 + 9745179^2 .

It is a cyclic number.

It is not a de Polignac number, because 331033301102041 - 2¹⁷ = 331033300970969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331033301101997 and 331033301102015.

It is not a weakly prime, because it can be changed into another prime (331033301100041) 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, 165516650551020 + 165516650551021.

It is an arithmetic number, because the mean of its divisors is an integer number (165516650551021).

Almost surely, 2^{331033301102041} is an apocalyptic number.

It is an amenable number.

331033301102041 is a deficient number, since it is larger than the sum of its proper divisors (1).

331033301102041 is an equidigital number, since it uses as much as digits as its factorization.

331033301102041 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 25.

Adding to 331033301102041 its reverse (140201103330133), we get a palindrome (471234404432174).

The spelling of 331033301102041 in words is "three hundred thirty-one trillion, thirty-three billion, three hundred one million, one hundred two thousand, forty-one".