11320131410140 has 192 divisors, whose sum is σ = 27693433958400. Its totient is φ = 3806899200000.

The previous prime is 11320131410131. The next prime is 11320131410153. The reversal of 11320131410140 is 4101413102311.

11320131410140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1113194976 + ... + 1113205144.

It is an arithmetic number, because the mean of its divisors is an integer number (144236635200).

Almost surely, 2^{11320131410140} is an apocalyptic number.

11320131410140 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 11320131410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846716979200).

11320131410140 is an abundant number, since it is smaller than the sum of its proper divisors (16373302548260).

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

11320131410140 is a wasteful number, since it uses less digits than its factorization.

11320131410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10916 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11320131410140 its reverse (4101413102311), we get a palindrome (15421544512451).

The spelling of 11320131410140 in words is "eleven trillion, three hundred twenty billion, one hundred thirty-one million, four hundred ten thousand, one hundred forty".