13001110320 has 320 divisors, whose sum is σ = 45483088896. Its totient is φ = 3044413440.

The previous prime is 13001110303. The next prime is 13001110333. The reversal of 13001110320 is 2301110031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13001110296 and 13001110305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16312162 + ... + 16312958.

Almost surely, 2^13001110320 is an apocalyptic number.

13001110320 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 13001110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741544448).

13001110320 is an abundant number, since it is smaller than the sum of its proper divisors (32481978576).

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

13001110320 is a wasteful number, since it uses less digits than its factorization.

13001110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13001110320 its reverse (2301110031), we get a palindrome (15302220351).

It can be divided in two parts, 13001 and 110320, that added together give a palindrome (123321).

The spelling of 13001110320 in words is "thirteen billion, one million, one hundred ten thousand, three hundred twenty".