111132211311 has 24 divisors (see below), whose sum is σ = 175138104960. Its totient is φ = 67344901200.

The previous prime is 111132211303. The next prime is 111132211331. The reversal of 111132211311 is 113112231111.

111132211311 is a `hidden beast` number, since 1 + 11 + 132 + 211 + 311 = 666.

It is not a de Polignac number, because 111132211311 - 2³ = 111132211303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111132211331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838270 + ... + 961748.

It is an arithmetic number, because the mean of its divisors is an integer number (7297421040).

Almost surely, 2^111132211311 is an apocalyptic number.

111132211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111132211311 is a deficient number, since it is larger than the sum of its proper divisors (64005893649).

111132211311 is a wasteful number, since it uses less digits than its factorization.

111132211311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132587 (or 132584 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 111132211311 its reverse (113112231111), we get a palindrome (224244442422).

The spelling of 111132211311 in words is "one hundred eleven billion, one hundred thirty-two million, two hundred eleven thousand, three hundred eleven".