213402132800 has 168 divisors, whose sum is σ = 576773649600. Its totient is φ = 77351915520.

The previous prime is 213402132787. The next prime is 213402132809. The reversal of 213402132800 is 8231204312.

213402132800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213402132800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213402132809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546596 + ... + 851804.

Almost surely, 2^213402132800 is an apocalyptic number.

213402132800 is a gapful number since it is divisible by the number (20) 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 213402132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288386824800).

213402132800 is an abundant number, since it is smaller than the sum of its proper divisors (363371516800).

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

213402132800 is a wasteful number, since it uses less digits than its factorization.

213402132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305273 (or 305258 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 213402132800 in words is "two hundred thirteen billion, four hundred two million, one hundred thirty-two thousand, eight hundred".