213132210 has 64 divisors (see below), whose sum is σ = 529120512. Its totient is φ = 54902016.

The previous prime is 213132203. The next prime is 213132217. The reversal of 213132210 is 12231312.

213132210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213132203) and next prime (213132217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213132210.

It is not an unprimeable number, because it can be changed into a prime (213132217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173659 + ... + 174881.

It is an arithmetic number, because the mean of its divisors is an integer number (8267508).

Almost surely, 2^213132210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264560256).

213132210 is an abundant number, since it is smaller than the sum of its proper divisors (315988302).

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

213132210 is a wasteful number, since it uses less digits than its factorization.

213132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213132210 is about 14599.0482566502. The cubic root of 213132210 is about 597.3327998634.

Adding to 213132210 its reverse (12231312), we get a palindrome (225363522).

The spelling of 213132210 in words is "two hundred thirteen million, one hundred thirty-two thousand, two hundred ten".