213132312 has 24 divisors (see below), whose sum is σ = 577233540. Its totient is φ = 71044080.

The previous prime is 213132301. The next prime is 213132331. The reversal of 213132312 is 213231312.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 1480014 + ... + 1480157.

Almost surely, 2^213132312 is an apocalyptic number.

It is an amenable number.

213132312 is an abundant number, since it is smaller than the sum of its proper divisors (364101228).

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

213132312 is a wasteful number, since it uses less digits than its factorization.

213132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960183 (or 2960176 counting only the distinct ones).

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

The square root of 213132312 is about 14599.0517500282. The cubic root of 213132312 is about 597.3328951532.

Adding to 213132312 its reverse (213231312), we get a palindrome (426363624).

It can be divided in two parts, 213132 and 312, that added together give a square (213444 = 462²).

The spelling of 213132312 in words is "two hundred thirteen million, one hundred thirty-two thousand, three hundred twelve".