11311101181241 has 2 divisors, whose sum is σ = 11311101181242. Its totient is φ = 11311101181240.

The previous prime is 11311101181199. The next prime is 11311101181249. The reversal of 11311101181241 is 14218110111311.

11311101181241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8794166526016 + 2516934655225 = 2965496^2 + 1586485^2 .

It is a cyclic number.

It is not a de Polignac number, because 11311101181241 - 2³⁴ = 11293921312057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11311101181241.

It is not a weakly prime, because it can be changed into another prime (11311101181249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5655550590620 + 5655550590621.

It is an arithmetic number, because the mean of its divisors is an integer number (5655550590621).

Almost surely, 2^{11311101181241} is an apocalyptic number.

It is an amenable number.

11311101181241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11311101181241 is an equidigital number, since it uses as much as digits as its factorization.

11311101181241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 26.

Adding to 11311101181241 its reverse (14218110111311), we get a palindrome (25529211292552).

The spelling of 11311101181241 in words is "eleven trillion, three hundred eleven billion, one hundred one million, one hundred eighty-one thousand, two hundred forty-one".