11131143140 has 72 divisors (see below), whose sum is σ = 25369715112. Its totient is φ = 4078172160.

The previous prime is 11131143139. The next prime is 11131143173. The reversal of 11131143140 is 4134113111.

It can be written as a sum of positive squares in 12 ways, for example, as 2748275776 + 8382867364 = 52424^2 + 91558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4878800 + ... + 4881080.

Almost surely, 2^11131143140 is an apocalyptic number.

11131143140 is a gapful number since it is divisible by the number (10) 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 11131143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684857556).

11131143140 is an abundant number, since it is smaller than the sum of its proper divisors (14238571972).

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

11131143140 is a wasteful number, since it uses less digits than its factorization.

11131143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11131143140 its reverse (4134113111), we get a palindrome (15265256251).

It can be divided in two parts, 111311 and 43140, that added together give a palindrome (154451).

The spelling of 11131143140 in words is "eleven billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred forty".