11131130320 has 320 divisors, whose sum is σ = 29312409600. Its totient is φ = 3917168640.

The previous prime is 11131130317. The next prime is 11131130321. The reversal of 11131130320 is 2303113111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11131130294 and 11131130303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131130321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125068836 + ... + 125068924.

It is an arithmetic number, because the mean of its divisors is an integer number (91601280).

Almost surely, 2^11131130320 is an apocalyptic number.

11131130320 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 11131130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656204800).

11131130320 is an abundant number, since it is smaller than the sum of its proper divisors (18181279280).

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

11131130320 is a wasteful number, since it uses less digits than its factorization.

11131130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11131130320 its reverse (2303113111), we get a palindrome (13434243431).

The spelling of 11131130320 in words is "eleven billion, one hundred thirty-one million, one hundred thirty thousand, three hundred twenty".