13013213200 has 60 divisors (see below), whose sum is σ = 33669200068. Its totient is φ = 4804876800.

The previous prime is 13013213179. The next prime is 13013213209. The reversal of 13013213200 is 231231031.

It can be written as a sum of positive squares in 6 ways, for example, as 2316689424 + 10696523776 = 48132^2 + 103424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13013213209) 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 11 ways as a sum of consecutive naturals, for example, 1246071 + ... + 1256470.

Almost surely, 2^13013213200 is an apocalyptic number.

13013213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013213200 is an abundant number, since it is smaller than the sum of its proper divisors (20655986868).

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

13013213200 is a wasteful number, since it uses less digits than its factorization.

13013213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502572 (or 2502561 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13013213200 its reverse (231231031), we get a palindrome (13244444231).

The spelling of 13013213200 in words is "thirteen billion, thirteen million, two hundred thirteen thousand, two hundred".