11310113320 has 128 divisors (see below), whose sum is σ = 28161302400. Its totient is φ = 4053888000.

The previous prime is 11310113267. The next prime is 11310113327. The reversal of 11310113320 is 2331101311.

It is a super-3 number, since 3×11310113320³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11310113294 and 11310113303.

It is not an unprimeable number, because it can be changed into a prime (11310113327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13642666 + ... + 13643494.

It is an arithmetic number, because the mean of its divisors is an integer number (220010175).

Almost surely, 2^11310113320 is an apocalyptic number.

11310113320 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 11310113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14080651200).

11310113320 is an abundant number, since it is smaller than the sum of its proper divisors (16851189080).

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

11310113320 is a wasteful number, since it uses less digits than its factorization.

11310113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

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

Adding to 11310113320 its reverse (2331101311), we get a palindrome (13641214631).

The spelling of 11310113320 in words is "eleven billion, three hundred ten million, one hundred thirteen thousand, three hundred twenty".