13201128 has 24 divisors (see below), whose sum is σ = 35753250. Its totient is φ = 4400352.

The previous prime is 13201127. The next prime is 13201147. The reversal of 13201128 is 82110231.

It can be written as a sum of positive squares in only one way, i.e., 11410884 + 1790244 = 3378^2 + 1338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 13201128.

It is not an unprimeable number, because it can be changed into a prime (13201121) 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 5 ways as a sum of consecutive naturals, for example, 91603 + ... + 91746.

Almost surely, 2^13201128 is an apocalyptic number.

13201128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13201128 is an abundant number, since it is smaller than the sum of its proper divisors (22552122).

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

13201128 is a wasteful number, since it uses less digits than its factorization.

13201128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183361 (or 183354 counting only the distinct ones).

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

The square root of 13201128 is about 3633.3356574916. The cubic root of 13201128 is about 236.3398818157.

Adding to 13201128 its reverse (82110231), we get a palindrome (95311359).

The spelling of 13201128 in words is "thirteen million, two hundred one thousand, one hundred twenty-eight".