331041233311441 has 2 divisors, whose sum is σ = 331041233311442. Its totient is φ = 331041233311440.

The previous prime is 331041233311433. The next prime is 331041233311447. The reversal of 331041233311441 is 144113332140133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288647187744400 + 42394045567041 = 16989620^2 + 6511071^2 .

It is a cyclic number.

It is not a de Polignac number, because 331041233311441 - 2³ = 331041233311433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331041233311397 and 331041233311406.

It is not a weakly prime, because it can be changed into another prime (331041233311447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165520616655720 + 165520616655721.

It is an arithmetic number, because the mean of its divisors is an integer number (165520616655721).

Almost surely, 2^{331041233311441} is an apocalyptic number.

It is an amenable number.

331041233311441 is a deficient number, since it is larger than the sum of its proper divisors (1).

331041233311441 is an equidigital number, since it uses as much as digits as its factorization.

331041233311441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 331041233311441 its reverse (144113332140133), we get a palindrome (475154565451574).

The spelling of 331041233311441 in words is "three hundred thirty-one trillion, forty-one billion, two hundred thirty-three million, three hundred eleven thousand, four hundred forty-one".