213060312 has 96 divisors (see below), whose sum is σ = 592410000. Its totient is φ = 69154560.

The previous prime is 213060311. The next prime is 213060383.

213060312 is a `hidden beast` number, since 21 + 30 + 603 + 12 = 666.

213060312 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213060311) 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, 610314 + ... + 610662.

Almost surely, 2^213060312 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 213060312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296205000).

213060312 is an abundant number, since it is smaller than the sum of its proper divisors (379349688).

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

213060312 is a wasteful number, since it uses less digits than its factorization.

213060312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 554 counting only the distinct ones).

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

The square root of 213060312 is about 14596.5856281529. The cubic root of 213060312 is about 597.2656242454.

The spelling of 213060312 in words is "two hundred thirteen million, sixty thousand, three hundred twelve".