213024414312 has 24 divisors (see below), whose sum is σ = 576941122290. Its totient is φ = 71008138080.

The previous prime is 213024414241. The next prime is 213024414313. The reversal of 213024414312 is 213414420312.

213024414312 is a `hidden beast` number, since 2 + 1 + 302 + 4 + 41 + 4 + 312 = 666.

213024414312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 173393956836 + 39630457476 = 416406^2 + 199074^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213024414313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1479336139 + ... + 1479336282.

Almost surely, 2^213024414312 is an apocalyptic number.

It is an amenable number.

213024414312 is an abundant number, since it is smaller than the sum of its proper divisors (363916707978).

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

213024414312 is a wasteful number, since it uses less digits than its factorization.

213024414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958672433 (or 2958672426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213024414312 its reverse (213414420312), we get a palindrome (426438834624).

The spelling of 213024414312 in words is "two hundred thirteen billion, twenty-four million, four hundred fourteen thousand, three hundred twelve".