13001120 has 96 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 4618240.

The previous prime is 13001119. The next prime is 13001129. The reversal of 13001120 is 2110031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 13001098 and 13001107.

It is not an unprimeable number, because it can be changed into a prime (13001129) 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, 146036 + ... + 146124.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^13001120 is an apocalyptic number.

13001120 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 13001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

13001120 is an abundant number, since it is smaller than the sum of its proper divisors (21291040).

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

13001120 is a wasteful number, since it uses less digits than its factorization.

13001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 13001120 is about 3605.7065881738. The cubic root of 13001120 is about 235.1402211291.

Adding to 13001120 its reverse (2110031), we get a palindrome (15111151).

It can be divided in two parts, 130011 and 20, that added together give a palindrome (130031).

The spelling of 13001120 in words is "thirteen million, one thousand, one hundred twenty".