13113313200 has 180 divisors, whose sum is σ = 49007540400. Its totient is φ = 3227880960.

The previous prime is 13113313181. The next prime is 13113313211. The reversal of 13113313200 is 231331131.

It is a happy number.

13113313200 is a `hidden beast` number, since 1 + 3 + 11 + 331 + 320 + 0 = 666.

13113313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93300 + ... + 186899.

Almost surely, 2^13113313200 is an apocalyptic number.

13113313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113313200 is an abundant number, since it is smaller than the sum of its proper divisors (35894227200).

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

13113313200 is a wasteful number, since it uses less digits than its factorization.

13113313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280236 (or 280222 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13113313200 its reverse (231331131), we get a palindrome (13344644331).

The spelling of 13113313200 in words is "thirteen billion, one hundred thirteen million, three hundred thirteen thousand, two hundred".