11314441311 has 24 divisors (see below), whose sum is σ = 15298867584. Its totient is φ = 7437521520.

The previous prime is 11314441301. The next prime is 11314441319.

11314441311 is nontrivially palindromic in base 10.

11314441311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11314441311 - 2¹⁵ = 11314408543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314441319) 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 23 ways as a sum of consecutive naturals, for example, 15562830 + ... + 15563556.

It is an arithmetic number, because the mean of its divisors is an integer number (637452816).

Almost surely, 2^11314441311 is an apocalyptic number.

11314441311 is a deficient number, since it is larger than the sum of its proper divisors (3984426273).

11314441311 is an equidigital number, since it uses as much as digits as its factorization.

11314441311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1060 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The spelling of 11314441311 in words is "eleven billion, three hundred fourteen million, four hundred forty-one thousand, three hundred eleven".