11441125311 has 64 divisors (see below), whose sum is σ = 19566821376. Its totient is φ = 5772816000.

The previous prime is 11441125303. The next prime is 11441125321. The reversal of 11441125311 is 11352114411.

It is not a de Polignac number, because 11441125311 - 2³ = 11441125303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441125301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9837016 + ... + 9838178.

It is an arithmetic number, because the mean of its divisors is an integer number (305731584).

Almost surely, 2^11441125311 is an apocalyptic number.

11441125311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11441125311 is a deficient number, since it is larger than the sum of its proper divisors (8125696065).

11441125311 is a wasteful number, since it uses less digits than its factorization.

11441125311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its digits is 480, while the sum is 24.

Adding to 11441125311 its reverse (11352114411), we get a palindrome (22793239722).

The spelling of 11441125311 in words is "eleven billion, four hundred forty-one million, one hundred twenty-five thousand, three hundred eleven".