11131101320 has 64 divisors (see below), whose sum is σ = 26263710000. Its totient is φ = 4239986688.

The previous prime is 11131101307. The next prime is 11131101323. The reversal of 11131101320 is 2310113111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8223950596 + 2907150724 = 90686^2 + 53918^2 .

It is a super-2 number, since 2×11131101320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131101295 and 11131101304.

It is not an unprimeable number, because it can be changed into a prime (11131101323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18956 + ... + 150404.

Almost surely, 2^11131101320 is an apocalyptic number.

11131101320 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 11131101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131855000).

11131101320 is an abundant number, since it is smaller than the sum of its proper divisors (15132608680).

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

11131101320 is a wasteful number, since it uses less digits than its factorization.

11131101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131562 (or 131558 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11131101320 its reverse (2310113111), we get a palindrome (13441214431).

The spelling of 11131101320 in words is "eleven billion, one hundred thirty-one million, one hundred one thousand, three hundred twenty".