2011131111 has 8 divisors (see below), whose sum is σ = 2925281664. Its totient is φ = 1218867320.

The previous prime is 2011131079. The next prime is 2011131137. The reversal of 2011131111 is 1111311102.

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

It is not a de Polignac number, because 2011131111 - 2⁵ = 2011131079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011131011) 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, 30471651 + ... + 30471716.

It is an arithmetic number, because the mean of its divisors is an integer number (365660208).

Almost surely, 2^2011131111 is an apocalyptic number.

2011131111 is a deficient number, since it is larger than the sum of its proper divisors (914150553).

2011131111 is a wasteful number, since it uses less digits than its factorization.

2011131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60943381.

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 2011131111 is about 44845.6364766964. The cubic root of 2011131111 is about 1262.2541138106.

Adding to 2011131111 its reverse (1111311102), we get a palindrome (3122442213).

Subtracting from 2011131111 its reverse (1111311102), we obtain a square (899820009 = 29997²).

The spelling of 2011131111 in words is "two billion, eleven million, one hundred thirty-one thousand, one hundred eleven".