2011311 has 28 divisors (see below), whose sum is σ = 3147840. Its totient is φ = 1283040.

The previous prime is 2011309. The next prime is 2011333. The reversal of 2011311 is 1131102.

It is not a de Polignac number, because 2011311 - 2¹ = 2011309 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011293 and 2011302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22555 + ... + 22643.

2^2011311 is an apocalyptic number.

2011311 is a deficient number, since it is larger than the sum of its proper divisors (1136529).

2011311 is an frugal number, since it uses more digits than its factorization.

2011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

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

The square root of 2011311 is about 1418.2069665602. The cubic root of 2011311 is about 126.2291747502.

Adding to 2011311 its reverse (1131102), we get a palindrome (3142413).

The spelling of 2011311 in words is "two million, eleven thousand, three hundred eleven".