213131232 has 72 divisors (see below), whose sum is σ = 617571864. Its totient is φ = 69698304.

The previous prime is 213131209. The next prime is 213131249. The reversal of 213131232 is 232131312.

213131232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 8283 + ... + 22245.

It is an arithmetic number, because the mean of its divisors is an integer number (8577387).

Almost surely, 2^213131232 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 213131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308785932).

213131232 is an abundant number, since it is smaller than the sum of its proper divisors (404440632).

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

213131232 is a wasteful number, since it uses less digits than its factorization.

213131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14032 (or 14021 counting only the distinct ones).

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

The square root of 213131232 is about 14599.0147612776. The cubic root of 213131232 is about 597.3318862015.

Adding to 213131232 its reverse (232131312), we get a palindrome (445262544).

It can be divided in two parts, 21 and 3131232, that added together give a triangular number (3131253 = T₂₅₀₂).

The spelling of 213131232 in words is "two hundred thirteen million, one hundred thirty-one thousand, two hundred thirty-two".