111000111311 has 16 divisors (see below), whose sum is σ = 111913747200. Its totient is φ = 110091552768.

The previous prime is 111000111263. The next prime is 111000111323. The reversal of 111000111311 is 113111000111.

It is a cyclic number.

It is not a de Polignac number, because 111000111311 - 2²⁶ = 110933002447 is a prime.

It is a super-2 number, since 2×111000111311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111000111292 and 111000111301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000111361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74346281 + ... + 74347773.

It is an arithmetic number, because the mean of its divisors is an integer number (6994609200).

Almost surely, 2^111000111311 is an apocalyptic number.

111000111311 is a deficient number, since it is larger than the sum of its proper divisors (913635889).

111000111311 is a wasteful number, since it uses less digits than its factorization.

111000111311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 111000111311 its reverse (113111000111), we get a palindrome (224111111422).

The spelling of 111000111311 in words is "one hundred eleven billion, one hundred eleven thousand, three hundred eleven".