13102128 has 80 divisors (see below), whose sum is σ = 40518240. Its totient is φ = 4029696.

The previous prime is 13102099. The next prime is 13102139. The reversal of 13102128 is 82120131.

13102128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13102128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4450 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (506478).

Almost surely, 2^13102128 is an apocalyptic number.

13102128 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 13102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259120).

13102128 is an abundant number, since it is smaller than the sum of its proper divisors (27416112).

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

13102128 is a wasteful number, since it uses less digits than its factorization.

13102128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2351 counting only the distinct ones).

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

The square root of 13102128 is about 3619.6861742422. The cubic root of 13102128 is about 235.7475995418.

Adding to 13102128 its reverse (82120131), we get a palindrome (95222259).

The spelling of 13102128 in words is "thirteen million, one hundred two thousand, one hundred twenty-eight".