11131121133 has 12 divisors (see below), whose sum is σ = 17539948608. Its totient is φ = 6746133960.

The previous prime is 11131121129. The next prime is 11131121137. The reversal of 11131121133 is 33112113111.

11131121133 is a `hidden beast` number, since 111 + 311 + 211 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (11131121129) and next prime (11131121137).

It is not a de Polignac number, because 11131121133 - 2² = 11131121129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131121137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56217685 + ... + 56217882.

It is an arithmetic number, because the mean of its divisors is an integer number (1461662384).

Almost surely, 2^11131121133 is an apocalyptic number.

It is an amenable number.

11131121133 is a deficient number, since it is larger than the sum of its proper divisors (6408827475).

11131121133 is a wasteful number, since it uses less digits than its factorization.

11131121133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112435584 (or 112435581 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11131121133 its reverse (33112113111), we get a palindrome (44243234244).

The spelling of 11131121133 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-three".