111101331133 has 8 divisors (see below), whose sum is σ = 119656745208. Its totient is φ = 102547225344.

The previous prime is 111101331113. The next prime is 111101331161. The reversal of 111101331133 is 331133101111.

It can be written as a sum of positive squares in 4 ways, for example, as 4996086489 + 106105244644 = 70683^2 + 325738^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111101331133 - 2³³ = 102511396541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101331133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101331113) 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 7 ways as a sum of consecutive naturals, for example, 147016 + ... + 493777.

It is an arithmetic number, because the mean of its divisors is an integer number (14957093151).

Almost surely, 2^111101331133 is an apocalyptic number.

111101331133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111101331133 is a deficient number, since it is larger than the sum of its proper divisors (8555414075).

111101331133 is a wasteful number, since it uses less digits than its factorization.

111101331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654143.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 111101331133 its reverse (331133101111), we get a palindrome (442234432244).

The spelling of 111101331133 in words is "one hundred eleven billion, one hundred one million, three hundred thirty-one thousand, one hundred thirty-three".