11311311 has 16 divisors (see below), whose sum is σ = 16985088. Its totient is φ = 6633600.

The previous prime is 11311301. The next prime is 11311319.

11311311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11311311 - 2⁹ = 11310799 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311319) 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 15 ways as a sum of consecutive naturals, for example, 4506 + ... + 6551.

It is an arithmetic number, because the mean of its divisors is an integer number (1061568).

Almost surely, 2^11311311 is an apocalyptic number.

11311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11311311 is a deficient number, since it is larger than the sum of its proper divisors (5673777).

11311311 is a wasteful number, since it uses less digits than its factorization.

11311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102.

The product of its digits is 9, while the sum is 12.

The square root of 11311311 is about 3363.2292517757. The cubic root of 11311311 is about 224.4765510732.

It can be divided in two parts, 1131 and 1311, that added together give a palindrome (2442).

The spelling of 11311311 in words is "eleven million, three hundred eleven thousand, three hundred eleven".