213312012 has 72 divisors (see below), whose sum is σ = 538563312. Its totient is φ = 65664000.

The previous prime is 213312007. The next prime is 213312013. The reversal of 213312012 is 210213312.

It is a junction number, because it is equal to n+sod(n) for n = 213311982 and 213312000.

It is not an unprimeable number, because it can be changed into a prime (213312013) 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 23 ways as a sum of consecutive naturals, for example, 177012 + ... + 178212.

It is an arithmetic number, because the mean of its divisors is an integer number (7480046).

Almost surely, 2^213312012 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 213312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269281656).

213312012 is an abundant number, since it is smaller than the sum of its proper divisors (325251300).

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

213312012 is a wasteful number, since it uses less digits than its factorization.

213312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1266 counting only the distinct ones).

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

The square root of 213312012 is about 14605.2049626152. The cubic root of 213312012 is about 597.5007260602.

Adding to 213312012 its reverse (210213312), we get a palindrome (423525324).

The spelling of 213312012 in words is "two hundred thirteen million, three hundred twelve thousand, twelve".