13120128 has 96 divisors (see below), whose sum is σ = 43174560. Its totient is φ = 3746304.

The previous prime is 13120111. The next prime is 13120139. The reversal of 13120128 is 82102131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 13120128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7251 + ... + 8877.

It is an arithmetic number, because the mean of its divisors is an integer number (449735).

Almost surely, 2^13120128 is an apocalyptic number.

13120128 is a gapful number since it is divisible by the number (18) 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 13120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587280).

13120128 is an abundant number, since it is smaller than the sum of its proper divisors (30054432).

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

13120128 is a wasteful number, since it uses less digits than its factorization.

13120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13120128 is about 3622.1717242560. The cubic root of 13120128 is about 235.8555086036.

Adding to 13120128 its reverse (82102131), we get a palindrome (95222259).

The spelling of 13120128 in words is "thirteen million, one hundred twenty thousand, one hundred twenty-eight".