213081312 has 48 divisors (see below), whose sum is σ = 562730112. Its totient is φ = 70596480.

The previous prime is 213081293. The next prime is 213081317. The reversal of 213081312 is 213180312.

213081312 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213081317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9387 + ... + 22677.

It is an arithmetic number, because the mean of its divisors is an integer number (11723544).

Almost surely, 2^213081312 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 213081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281365056).

213081312 is an abundant number, since it is smaller than the sum of its proper divisors (349648800).

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

213081312 is a wasteful number, since it uses less digits than its factorization.

213081312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13471 (or 13463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 213081312 is about 14597.3049567377. The cubic root of 213081312 is about 597.2852464922.

The spelling of 213081312 in words is "two hundred thirteen million, eighty-one thousand, three hundred twelve".