11131122340 has 48 divisors (see below), whose sum is σ = 25231853808. Its totient is φ = 4100419584.

The previous prime is 11131122329. The next prime is 11131122361. The reversal of 11131122340 is 4322113111.

It can be written as a sum of positive squares in 8 ways, for example, as 1058591296 + 10072531044 = 32536^2 + 100362^2 .

It is an unprimeable number.

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, 63144 + ... + 162016.

It is an arithmetic number, because the mean of its divisors is an integer number (525663621).

Almost surely, 2^11131122340 is an apocalyptic number.

11131122340 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 11131122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12615926904).

11131122340 is an abundant number, since it is smaller than the sum of its proper divisors (14100731468).

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

11131122340 is a wasteful number, since it uses less digits than its factorization.

11131122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99328 (or 99326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11131122340 its reverse (4322113111), we get a palindrome (15453235451).

The spelling of 11131122340 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred forty".