13420013200 has 90 divisors (see below), whose sum is σ = 35439221762. Its totient is φ = 4879987200.

The previous prime is 13420013161. The next prime is 13420013213. The reversal of 13420013200 is 231002431.

It is a happy number.

13420013200 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 3 ways, for example, as 2110116096 + 11309897104 = 45936^2 + 106348^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 90237 + ... + 187036.

Almost surely, 2^13420013200 is an apocalyptic number.

13420013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420013200 is an abundant number, since it is smaller than the sum of its proper divisors (22019208562).

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

13420013200 is a wasteful number, since it uses less digits than its factorization.

13420013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277313 (or 277291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13420013200 its reverse (231002431), we get a palindrome (13651015631).

The spelling of 13420013200 in words is "thirteen billion, four hundred twenty million, thirteen thousand, two hundred".