13128311200 has 72 divisors (see below), whose sum is σ = 33934788972. Its totient is φ = 4942417920.

The previous prime is 13128311159. The next prime is 13128311201. The reversal of 13128311200 is 211382131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9903434256 + 3224876944 = 99516^2 + 56788^2 .

It is not an unprimeable number, because it can be changed into a prime (13128311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469059 + ... + 496258.

Almost surely, 2^13128311200 is an apocalyptic number.

13128311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13128311200 is an abundant number, since it is smaller than the sum of its proper divisors (20806477772).

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

13128311200 is a wasteful number, since it uses less digits than its factorization.

13128311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965354 (or 965341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13128311200 its reverse (211382131), we get a palindrome (13339693331).

The spelling of 13128311200 in words is "thirteen billion, one hundred twenty-eight million, three hundred eleven thousand, two hundred".