11131340024 has 64 divisors (see below), whose sum is σ = 24281779200. Its totient is φ = 4685040000.

The previous prime is 11131340023. The next prime is 11131340063. The reversal of 11131340024 is 42004313111.

It is a junction number, because it is equal to n+sod(n) for n = 11131339978 and 11131340005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131340023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2563247 + ... + 2567585.

It is an arithmetic number, because the mean of its divisors is an integer number (379402800).

Almost surely, 2^11131340024 is an apocalyptic number.

11131340024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140889600).

11131340024 is an abundant number, since it is smaller than the sum of its proper divisors (13150439176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11131340024 is a wasteful number, since it uses less digits than its factorization.

11131340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11131340024 its reverse (42004313111), we get a palindrome (53135653135).

The spelling of 11131340024 in words is "eleven billion, one hundred thirty-one million, three hundred forty thousand, twenty-four".