13013200100 has 36 divisors (see below), whose sum is σ = 28256501364. Its totient is φ = 5201988480.

The previous prime is 13013200093. The next prime is 13013200157. The reversal of 13013200100 is 100231031.

13013200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1055340196 + 11957859904 = 32486^2 + 109352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120962 + ... + 201638.

Almost surely, 2^13013200100 is an apocalyptic number.

13013200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013200100 is an abundant number, since it is smaller than the sum of its proper divisors (15243301264).

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

13013200100 is a wasteful number, since it uses less digits than its factorization.

13013200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82304 (or 82297 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13013200100 its reverse (100231031), we get a palindrome (13113431131).

The spelling of 13013200100 in words is "thirteen billion, thirteen million, two hundred thousand, one hundred".