11131033113 has 6 divisors (see below), whose sum is σ = 16078158954. Its totient is φ = 7420688736.

The previous prime is 11131033091. The next prime is 11131033183. The reversal of 11131033113 is 31133013111.

11131033113 is a `hidden beast` number, since 1 + 11 + 310 + 331 + 13 = 666.

11131033113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7890235929 + 3240797184 = 88827^2 + 56928^2 .

It is not a de Polignac number, because 11131033113 - 2¹⁶ = 11130967577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11131033183) 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 in 5 ways as a sum of consecutive naturals, for example, 618390720 + ... + 618390737.

It is an arithmetic number, because the mean of its divisors is an integer number (2679693159).

Almost surely, 2^11131033113 is an apocalyptic number.

It is an amenable number.

11131033113 is a deficient number, since it is larger than the sum of its proper divisors (4947125841).

11131033113 is a wasteful number, since it uses less digits than its factorization.

11131033113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236781463 (or 1236781460 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11131033113 its reverse (31133013111), we get a palindrome (42264046224).

The spelling of 11131033113 in words is "eleven billion, one hundred thirty-one million, thirty-three thousand, one hundred thirteen".