11332144123311 has 96 divisors (see below), whose sum is σ = 18002480428800. Its totient is φ = 6279934671360.

The previous prime is 11332144123297. The next prime is 11332144123331.

It is a happy number.

11332144123311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11332144123311 - 2⁶ = 11332144123247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332144123331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1861081555 + ... + 1861087643.

It is an arithmetic number, because the mean of its divisors is an integer number (187525837800).

Almost surely, 2^{11332144123311} is an apocalyptic number.

11332144123311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11332144123311 is a deficient number, since it is larger than the sum of its proper divisors (6670336305489).

11332144123311 is a wasteful number, since it uses less digits than its factorization.

11332144123311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11538 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1133214 and 4123311, that added together give a palindrome (5256525).

The spelling of 11332144123311 in words is "eleven trillion, three hundred thirty-two billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred eleven".