13032120 has 64 divisors (see below), whose sum is σ = 39352320. Its totient is φ = 3452544.

The previous prime is 13032083. The next prime is 13032133. The reversal of 13032120 is 2123031.

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 = 13032096 and 13032105.

It is a congruent number.

It is an unprimeable number.

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, 26517 + ... + 27003.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 2^13032120 is an apocalyptic number.

13032120 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 13032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676160).

13032120 is an abundant number, since it is smaller than the sum of its proper divisors (26320200).

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

13032120 is a wasteful number, since it uses less digits than its factorization.

13032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 720 counting only the distinct ones).

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

The square root of 13032120 is about 3610.0027700820. The cubic root of 13032120 is about 235.3269630128.

Adding to 13032120 its reverse (2123031), we get a palindrome (15155151).

The spelling of 13032120 in words is "thirteen million, thirty-two thousand, one hundred twenty".