213133410 has 128 divisors (see below), whose sum is σ = 677928960. Its totient is φ = 46588608.

The previous prime is 213133381. The next prime is 213133423. The reversal of 213133410 is 14331312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 41019 + ... + 45921.

It is an arithmetic number, because the mean of its divisors is an integer number (5296320).

Almost surely, 2^213133410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213133410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338964480).

213133410 is an abundant number, since it is smaller than the sum of its proper divisors (464795550).

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

213133410 is a wasteful number, since it uses less digits than its factorization.

213133410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 213133410 is about 14599.0893551618. The cubic root of 213133410 is about 597.3339209172. Note that the first 3 decimals are identical.

Adding to 213133410 its reverse (14331312), we get a palindrome (227464722).

The spelling of 213133410 in words is "two hundred thirteen million, one hundred thirty-three thousand, four hundred ten".