331133212511041 has 2 divisors, whose sum is σ = 331133212511042. Its totient is φ = 331133212511040.

The previous prime is 331133212511027. The next prime is 331133212511093. The reversal of 331133212511041 is 140115212331133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212709390393600 + 118423822117441 = 14584560^2 + 10882271^2 .

It is a cyclic number.

It is not a de Polignac number, because 331133212511041 - 2⁵ = 331133212511009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331133212510994 and 331133212511012.

It is not a weakly prime, because it can be changed into another prime (331133212511141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566606255520 + 165566606255521.

It is an arithmetic number, because the mean of its divisors is an integer number (165566606255521).

Almost surely, 2^{331133212511041} is an apocalyptic number.

It is an amenable number.

331133212511041 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133212511041 is an equidigital number, since it uses as much as digits as its factorization.

331133212511041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 331133212511041 its reverse (140115212331133), we get a palindrome (471248424842174).

The spelling of 331133212511041 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, two hundred twelve million, five hundred eleven thousand, forty-one".