13005120 has 224 divisors, whose sum is σ = 46817280. Its totient is φ = 3041280.

The previous prime is 13005103. The next prime is 13005121. The reversal of 13005120 is 2150031.

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 = 13005096 and 13005105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419505 + ... + 419535.

Almost surely, 2^13005120 is an apocalyptic number.

13005120 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 13005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

13005120 is an abundant number, since it is smaller than the sum of its proper divisors (33812160).

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

13005120 is a wasteful number, since it uses less digits than its factorization.

13005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 13005120 is about 3606.2612218196. The cubic root of 13005120 is about 235.1643335245.

Adding to 13005120 its reverse (2150031), we get a palindrome (15155151).

The spelling of 13005120 in words is "thirteen million, five thousand, one hundred twenty".