2111311 has 2 divisors, whose sum is σ = 2111312. Its totient is φ = 2111310.

The previous prime is 2111309. The next prime is 2111321. The reversal of 2111311 is 1131112.

2111311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2111321) can be obtained adding 2111311 to its sum of digits (10).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2111311 - 2¹ = 2111309 is a prime.

Together with 2111309, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055655 + 1055656.

It is an arithmetic number, because the mean of its divisors is an integer number (1055656).

2^2111311 is an apocalyptic number.

2111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111311 is an equidigital number, since it uses as much as digits as its factorization.

2111311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 10.

The square root of 2111311 is about 1453.0350993696. The cubic root of 2111311 is about 128.2874197180.

Adding to 2111311 its reverse (1131112), we get a palindrome (3242423).

The spelling of 2111311 in words is "two million, one hundred eleven thousand, three hundred eleven".