11131013024 has 144 divisors (see below), whose sum is σ = 24876548928. Its totient is φ = 4889837568.

The previous prime is 11131013011. The next prime is 11131013027. The reversal of 11131013024 is 42031013111.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 11131012993 and 11131013011.

It is not an unprimeable number, because it can be changed into a prime (11131013027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9145664 + ... + 9146880.

It is an arithmetic number, because the mean of its divisors is an integer number (172753812).

Almost surely, 2^11131013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12438274464).

11131013024 is an abundant number, since it is smaller than the sum of its proper divisors (13745535904).

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

11131013024 is a wasteful number, since it uses less digits than its factorization.

11131013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11131013024 its reverse (42031013111), we get a palindrome (53162026135).

The spelling of 11131013024 in words is "eleven billion, one hundred thirty-one million, thirteen thousand, twenty-four".