213132444 has 96 divisors (see below), whose sum is σ = 599187456. Its totient is φ = 57647040.

The previous prime is 213132433. The next prime is 213132457. The reversal of 213132444 is 444231312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206209 + ... + 207239.

It is an arithmetic number, because the mean of its divisors is an integer number (6241536).

Almost surely, 2^213132444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299593728).

213132444 is an abundant number, since it is smaller than the sum of its proper divisors (386055012).

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

213132444 is a wasteful number, since it uses less digits than its factorization.

213132444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 213132444 is about 14599.0562708690. The cubic root of 213132444 is about 597.3330184693. Note that the first 3 decimals are identical.

Adding to 213132444 its reverse (444231312), we get a palindrome (657363756).

The spelling of 213132444 in words is "two hundred thirteen million, one hundred thirty-two thousand, four hundred forty-four".