213032000 has 112 divisors (see below), whose sum is σ = 545226240. Its totient is φ = 82368000.

The previous prime is 213031991. The next prime is 213032089. The reversal of 213032000 is 230312.

It is an unprimeable number.

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, 247571 + ... + 248429.

Almost surely, 2^213032000 is an apocalyptic number.

213032000 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 213032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272613120).

213032000 is an abundant number, since it is smaller than the sum of its proper divisors (332194240).

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

213032000 is an equidigital number, since it uses as much as digits as its factorization.

213032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 213032000 is about 14595.6157800896. The cubic root of 213032000 is about 597.2391676782.

Adding to 213032000 its reverse (230312), we get a palindrome (213262312).

The spelling of 213032000 in words is "two hundred thirteen million, thirty-two thousand".