331100133121141 has 2 divisors, whose sum is σ = 331100133121142. Its totient is φ = 331100133121140.

The previous prime is 331100133121127. The next prime is 331100133121159. The reversal of 331100133121141 is 141121331001133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 318503951329041 + 12596181792100 = 17846679^2 + 3549110^2 .

It is a cyclic number.

It is not a de Polignac number, because 331100133121141 - 2⁹ = 331100133120629 is a prime.

It is a super-2 number, since 2×331100133121141² (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 (331100133121441) 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, 165550066560570 + 165550066560571.

It is an arithmetic number, because the mean of its divisors is an integer number (165550066560571).

Almost surely, 2^{331100133121141} is an apocalyptic number.

It is an amenable number.

331100133121141 is a deficient number, since it is larger than the sum of its proper divisors (1).

331100133121141 is an equidigital number, since it uses as much as digits as its factorization.

331100133121141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 331100133121141 its reverse (141121331001133), we get a palindrome (472221464122274).

The spelling of 331100133121141 in words is "three hundred thirty-one trillion, one hundred billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred forty-one".