11131013011271 has 2 divisors, whose sum is σ = 11131013011272. Its totient is φ = 11131013011270.

The previous prime is 11131013011187. The next prime is 11131013011291. The reversal of 11131013011271 is 17211031013111.

It is a happy number.

11131013011271 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11131013011271 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11131013011291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565506505635 + 5565506505636.

It is an arithmetic number, because the mean of its divisors is an integer number (5565506505636).

Almost surely, 2^{11131013011271} is an apocalyptic number.

11131013011271 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131013011271 is an equidigital number, since it uses as much as digits as its factorization.

11131013011271 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 23.

Adding to 11131013011271 its reverse (17211031013111), we get a palindrome (28342044024382).

The spelling of 11131013011271 in words is "eleven trillion, one hundred thirty-one billion, thirteen million, eleven thousand, two hundred seventy-one".