13133023200 has 432 divisors, whose sum is σ = 51184224000. Its totient is φ = 3141964800.

The previous prime is 13133023187. The next prime is 13133023219. The reversal of 13133023200 is 232033131.

13133023200 is a `hidden beast` number, since 1 + 313 + 30 + 2 + 320 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6255751 + ... + 6257849.

It is an arithmetic number, because the mean of its divisors is an integer number (118482000).

Almost surely, 2^13133023200 is an apocalyptic number.

13133023200 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 13133023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112000).

13133023200 is an abundant number, since it is smaller than the sum of its proper divisors (38051200800).

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

13133023200 is a wasteful number, since it uses less digits than its factorization.

13133023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13133023200 its reverse (232033131), we get a palindrome (13365056331).

The spelling of 13133023200 in words is "thirteen billion, one hundred thirty-three million, twenty-three thousand, two hundred".