13331311211441 has 2 divisors, whose sum is σ = 13331311211442. Its totient is φ = 13331311211440.

The previous prime is 13331311211437. The next prime is 13331311211459. The reversal of 13331311211441 is 14411211313331.

It is a happy number.

13331311211441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12799250380816 + 532060830625 = 3577604^2 + 729425^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331311211441 - 2² = 13331311211437 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331311211641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665655605720 + 6665655605721.

It is an arithmetic number, because the mean of its divisors is an integer number (6665655605721).

Almost surely, 2^{13331311211441} is an apocalyptic number.

It is an amenable number.

13331311211441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331311211441 is an equidigital number, since it uses as much as digits as its factorization.

13331311211441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 29.

Adding to 13331311211441 its reverse (14411211313331), we get a palindrome (27742522524772).

The spelling of 13331311211441 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, two hundred eleven thousand, four hundred forty-one".