213132000 has 96 divisors (see below), whose sum is σ = 698259744. Its totient is φ = 56832000.

The previous prime is 213131977. The next prime is 213132001. The reversal of 213132000 is 231312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120 + ... + 20880.

It is an arithmetic number, because the mean of its divisors is an integer number (7273539).

Almost surely, 2^213132000 is an apocalyptic number.

213132000 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 213132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349129872).

213132000 is an abundant number, since it is smaller than the sum of its proper divisors (485127744).

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

213132000 is a wasteful number, since it uses less digits than its factorization.

213132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17789 (or 17771 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213132000 is about 14599.0410643987. The cubic root of 213132000 is about 597.3326036786.

Adding to 213132000 its reverse (231312), we get a palindrome (213363312).

The spelling of 213132000 in words is "two hundred thirteen million, one hundred thirty-two thousand".