13120320 has 112 divisors (see below), whose sum is σ = 42428160. Its totient is φ = 3434496.

The previous prime is 13120301. The next prime is 13120321. The reversal of 13120320 is 2302131.

It is a happy number.

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 = 13120296 and 13120305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120321) 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, 75754 + ... + 75926.

Almost surely, 2^13120320 is an apocalyptic number.

13120320 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 13120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21214080).

13120320 is an abundant number, since it is smaller than the sum of its proper divisors (29307840).

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

13120320 is a wasteful number, since it uses less digits than its factorization.

13120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13120320 is about 3622.1982275961. The cubic root of 13120320 is about 235.8566591014.

Adding to 13120320 its reverse (2302131), we get a palindrome (15422451).

The spelling of 13120320 in words is "thirteen million, one hundred twenty thousand, three hundred twenty".