13100320 has 48 divisors (see below), whose sum is σ = 31720248. Its totient is φ = 5109760.

The previous prime is 13100287. The next prime is 13100327. The reversal of 13100320 is 2300131.

It can be written as a sum of positive squares in 4 ways, for example, as 3139984 + 9960336 = 1772^2 + 3156^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13100297 and 13100306.

It is not an unprimeable number, because it can be changed into a prime (13100327) 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 7 ways as a sum of consecutive naturals, for example, 5562 + ... + 7558.

Almost surely, 2^13100320 is an apocalyptic number.

13100320 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 13100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860124).

13100320 is an abundant number, since it is smaller than the sum of its proper divisors (18619928).

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

13100320 is a wasteful number, since it uses less digits than its factorization.

13100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13100320 is about 3619.4364202179. The cubic root of 13100320 is about 235.7367552151.

Adding to 13100320 its reverse (2300131), we get a palindrome (15400451).

The spelling of 13100320 in words is "thirteen million, one hundred thousand, three hundred twenty".