13311132320 has 96 divisors (see below), whose sum is σ = 32337098640. Its totient is φ = 5175705600.

The previous prime is 13311132301. The next prime is 13311132337. The reversal of 13311132320 is 2323111331.

It can be written as a sum of positive squares in 8 ways, for example, as 12455452816 + 855679504 = 111604^2 + 29252^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13311132292 and 13311132301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917120 + ... + 931520.

Almost surely, 2^13311132320 is an apocalyptic number.

13311132320 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 13311132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168549320).

13311132320 is an abundant number, since it is smaller than the sum of its proper divisors (19025966320).

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

13311132320 is a wasteful number, since it uses less digits than its factorization.

13311132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578 (or 14570 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13311132320 its reverse (2323111331), we get a palindrome (15634243651).

The spelling of 13311132320 in words is "thirteen billion, three hundred eleven million, one hundred thirty-two thousand, three hundred twenty".