213141312 has 168 divisors, whose sum is σ = 640680456. Its totient is φ = 67682304.

The previous prime is 213141277. The next prime is 213141317.

213141312 is a `hidden beast` number, since 213 + 141 + 312 = 666.

213141312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 88059456 + 125081856 = 9384^2 + 11184^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555708 + ... + 1555844.

Almost surely, 2^213141312 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 213141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320340228).

213141312 is an abundant number, since it is smaller than the sum of its proper divisors (427539144).

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

213141312 is a wasteful number, since it uses less digits than its factorization.

213141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 213141312 is about 14599.3599859720. The cubic root of 213141312 is about 597.3413029514.

The spelling of 213141312 in words is "two hundred thirteen million, one hundred forty-one thousand, three hundred twelve".