11031133113 has 144 divisors (see below), whose sum is σ = 21705615360. Its totient is φ = 5241974400.

The previous prime is 11031133103. The next prime is 11031133133. The reversal of 11031133113 is 31133113011.

11031133113 is a `hidden beast` number, since 1 + 10 + 311 + 331 + 13 = 666.

11031133113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11031133113 - 2⁶ = 11031133049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11031133103) 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 143 ways as a sum of consecutive naturals, for example, 15341968 + ... + 15342686.

It is an arithmetic number, because the mean of its divisors is an integer number (150733440).

Almost surely, 2^11031133113 is an apocalyptic number.

11031133113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11031133113 is a deficient number, since it is larger than the sum of its proper divisors (10674482247).

11031133113 is a wasteful number, since it uses less digits than its factorization.

11031133113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 884 counting only the distinct ones).

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

Adding to 11031133113 its reverse (31133113011), we get a palindrome (42164246124).

The spelling of 11031133113 in words is "eleven billion, thirty-one million, one hundred thirty-three thousand, one hundred thirteen".