11131041041 has 2 divisors, whose sum is σ = 11131041042. Its totient is φ = 11131041040.

The previous prime is 11131041013. The next prime is 11131041059. The reversal of 11131041041 is 14014013111.

11131041041 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., 6441667600 + 4689373441 = 80260^2 + 68479^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131041041 - 2²² = 11126846737 is a prime.

It is not a weakly prime, because it can be changed into another prime (11131041001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565520520 + 5565520521.

It is an arithmetic number, because the mean of its divisors is an integer number (5565520521).

Almost surely, 2^11131041041 is an apocalyptic number.

It is an amenable number.

11131041041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131041041 is an equidigital number, since it uses as much as digits as its factorization.

11131041041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11131041041 its reverse (14014013111), we get a palindrome (25145054152).

The spelling of 11131041041 in words is "eleven billion, one hundred thirty-one million, forty-one thousand, forty-one".