13208000400 has 960 divisors, whose sum is σ = 58453401600. Its totient is φ = 2763694080.

The previous prime is 13208000389. The next prime is 13208000419. The reversal of 13208000400 is 400080231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 55263481 + ... + 55263719.

It is an arithmetic number, because the mean of its divisors is an integer number (60888960).

Almost surely, 2^13208000400 is an apocalyptic number.

13208000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13208000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29226700800).

13208000400 is an abundant number, since it is smaller than the sum of its proper divisors (45245401200).

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

13208000400 is a wasteful number, since it uses less digits than its factorization.

13208000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13208000400 its reverse (400080231), we get a palindrome (13608080631).

The spelling of 13208000400 in words is "thirteen billion, two hundred eight million, four hundred", and thus it is an aban number.