11131116013 has 2 divisors, whose sum is σ = 11131116014. Its totient is φ = 11131116012.

The previous prime is 11131115929. The next prime is 11131116077. The reversal of 11131116013 is 31061113111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7176970089 + 3954145924 = 84717^2 + 62882^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131116013 - 2²¹ = 11129018861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11131116613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565558006 + 5565558007.

It is an arithmetic number, because the mean of its divisors is an integer number (5565558007).

Almost surely, 2^11131116013 is an apocalyptic number.

It is an amenable number.

11131116013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131116013 is an equidigital number, since it uses as much as digits as its factorization.

11131116013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 11131116013 its reverse (31061113111), we get a palindrome (42192229124).

The spelling of 11131116013 in words is "eleven billion, one hundred thirty-one million, one hundred sixteen thousand, thirteen".