2011113311 has 24 divisors (see below), whose sum is σ = 2299953744. Its totient is φ = 1751258880.

The previous prime is 2011113227. The next prime is 2011113317. The reversal of 2011113311 is 1133111102.

It is a happy number.

It is not a de Polignac number, because 2011113311 - 2²² = 2006919007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011113317) 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 23 ways as a sum of consecutive naturals, for example, 260081 + ... + 267701.

It is an arithmetic number, because the mean of its divisors is an integer number (95831406).

Almost surely, 2^2011113311 is an apocalyptic number.

2011113311 is a deficient number, since it is larger than the sum of its proper divisors (288840433).

2011113311 is a wasteful number, since it uses less digits than its factorization.

2011113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 2011113311 is about 44845.4380177070. The cubic root of 2011113311 is about 1262.2503898383.

Adding to 2011113311 its reverse (1133111102), we get a palindrome (3144224413).

The spelling of 2011113311 in words is "two billion, eleven million, one hundred thirteen thousand, three hundred eleven".