13101110320 has 80 divisors (see below), whose sum is σ = 31121365248. Its totient is φ = 5127724800.

The previous prime is 13101110317. The next prime is 13101110369. The reversal of 13101110320 is 2301110131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13101110320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801267 + ... + 817453.

Almost surely, 2^13101110320 is an apocalyptic number.

13101110320 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 13101110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560682624).

13101110320 is an abundant number, since it is smaller than the sum of its proper divisors (18020254928).

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

13101110320 is a wasteful number, since it uses less digits than its factorization.

13101110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16418 (or 16412 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13101110320 its reverse (2301110131), we get a palindrome (15402220451).

The spelling of 13101110320 in words is "thirteen billion, one hundred one million, one hundred ten thousand, three hundred twenty".