213432300000 has 576 divisors, whose sum is σ = 785126623680. Its totient is φ = 56401920000.

The previous prime is 213432299999. The next prime is 213432300061. The reversal of 213432300000 is 3234312.

213432300000 is a `hidden beast` number, since 21 + 343 + 2 + 300 + 0 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 369899712 + ... + 369900288.

It is an arithmetic number, because the mean of its divisors is an integer number (1363067055).

Almost surely, 2^213432300000 is an apocalyptic number.

213432300000 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 213432300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392563311840).

213432300000 is an abundant number, since it is smaller than the sum of its proper divisors (571694323680).

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

213432300000 is an equidigital number, since it uses as much as digits as its factorization.

213432300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213432300000 its reverse (3234312), we get a palindrome (213435534312).

The spelling of 213432300000 in words is "two hundred thirteen billion, four hundred thirty-two million, three hundred thousand".