11324133142311 has 16 divisors (see below), whose sum is σ = 16518127783680. Its totient is φ = 6843668747520.

The previous prime is 11324133142279. The next prime is 11324133142339.

It is a happy number.

11324133142311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11324133142311 - 2⁵ = 11324133142279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324133142411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486044371 + ... + 486067668.

It is an arithmetic number, because the mean of its divisors is an integer number (1032382986480).

Almost surely, 2^{11324133142311} is an apocalyptic number.

11324133142311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11324133142311 is a deficient number, since it is larger than the sum of its proper divisors (5193994641369).

11324133142311 is a wasteful number, since it uses less digits than its factorization.

11324133142311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972112406.

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

It can be divided in two parts, 1132413 and 3142311, that added together give a palindrome (4274724).

The spelling of 11324133142311 in words is "eleven trillion, three hundred twenty-four billion, one hundred thirty-three million, one hundred forty-two thousand, three hundred eleven".