13312113200 has 60 divisors (see below), whose sum is σ = 32104211568. Its totient is φ = 5304556800.

The previous prime is 13312113193. The next prime is 13312113209. The reversal of 13312113200 is 231121331.

13312113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13312113200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13312113209) by changing a digit.

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, 41930 + ... + 168470.

Almost surely, 2^13312113200 is an apocalyptic number.

13312113200 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 13312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052105784).

13312113200 is an abundant number, since it is smaller than the sum of its proper divisors (18792098368).

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

13312113200 is a wasteful number, since it uses less digits than its factorization.

13312113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126822 (or 126811 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13312113200 its reverse (231121331), we get a palindrome (13543234531).

The spelling of 13312113200 in words is "thirteen billion, three hundred twelve million, one hundred thirteen thousand, two hundred".