2011131 has 18 divisors (see below), whose sum is σ = 3070860. Its totient is φ = 1268136.

The previous prime is 2011129. The next prime is 2011147. The reversal of 2011131 is 1311102.

It is not a de Polignac number, because 2011131 - 2¹ = 2011129 is a prime.

It is a super-2 number, since 2×2011131² = 8089295798322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2940 + ... + 3558.

2^2011131 is an apocalyptic number.

2011131 is a deficient number, since it is larger than the sum of its proper divisors (1059729).

2011131 is a wasteful number, since it uses less digits than its factorization.

2011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2011131 is about 1418.1435047272. The cubic root of 2011131 is about 126.2254090588.

Adding to 2011131 its reverse (1311102), we get a palindrome (3322233).

The spelling of 2011131 in words is "two million, eleven thousand, one hundred thirty-one".