2111131311 has 48 divisors (see below), whose sum is σ = 3035362176. Its totient is φ = 1303319808.

The previous prime is 2111131301. The next prime is 2111131313. The reversal of 2111131311 is 1131311112.

It is not a de Polignac number, because 2111131311 - 2¹¹ = 2111129263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111131313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25435276 + ... + 25435358.

It is an arithmetic number, because the mean of its divisors is an integer number (63236712).

Almost surely, 2^2111131311 is an apocalyptic number.

2111131311 is a deficient number, since it is larger than the sum of its proper divisors (924230865).

2111131311 is an equidigital number, since it uses as much as digits as its factorization.

2111131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 239 counting only the distinct ones).

The product of its digits is 18, while the sum is 15.

The square root of 2111131311 is about 45947.0489912029. The cubic root of 2111131311 is about 1282.8378019544.

Adding to 2111131311 its reverse (1131311112), we get a palindrome (3242442423).

The spelling of 2111131311 in words is "two billion, one hundred eleven million, one hundred thirty-one thousand, three hundred eleven".