13284142200 has 432 divisors, whose sum is σ = 53325701520. Its totient is φ = 2902901760.

The previous prime is 13284142189. The next prime is 13284142217. The reversal of 13284142200 is 224148231.

13284142200 is a `hidden beast` number, since 1 + 3 + 28 + 414 + 220 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6664404 + ... + 6666396.

Almost surely, 2^13284142200 is an apocalyptic number.

13284142200 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 13284142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26662850760).

13284142200 is an abundant number, since it is smaller than the sum of its proper divisors (40041559320).

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

13284142200 is a wasteful number, since it uses less digits than its factorization.

13284142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 13284142200 in words is "thirteen billion, two hundred eighty-four million, one hundred forty-two thousand, two hundred".