13430120 has 64 divisors (see below), whose sum is σ = 33359040. Its totient is φ = 4825600.

The previous prime is 13430089. The next prime is 13430129. The reversal of 13430120 is 2103431.

It is a junction number, because it is equal to n+sod(n) for n = 13430095 and 13430104.

It is not an unprimeable number, because it can be changed into a prime (13430129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57524 + ... + 57756.

It is an arithmetic number, because the mean of its divisors is an integer number (521235).

Almost surely, 2^13430120 is an apocalyptic number.

13430120 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 13430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679520).

13430120 is an abundant number, since it is smaller than the sum of its proper divisors (19928920).

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

13430120 is a wasteful number, since it uses less digits than its factorization.

13430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13430120 is about 3664.7128127590. The cubic root of 13430120 is about 237.6986039588.

Adding to 13430120 its reverse (2103431), we get a palindrome (15533551).

The spelling of 13430120 in words is "thirteen million, four hundred thirty thousand, one hundred twenty".