213034424430312 has 96 divisors (see below), whose sum is σ = 604418926176000. Its totient is φ = 67694919626880.

The previous prime is 213034424430253. The next prime is 213034424430313.

213034424430312 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 344 + 2 + 4 + 4 + 303 + 1 + 2 = 666.

213034424430312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213034424430313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645581764 + ... + 645911667.

It is an arithmetic number, because the mean of its divisors is an integer number (6296030481000).

Almost surely, 2^{213034424430312} is an apocalyptic number.

It is an amenable number.

213034424430312 is an abundant number, since it is smaller than the sum of its proper divisors (391384501745688).

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

213034424430312 is a wasteful number, since it uses less digits than its factorization.

213034424430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291493551 (or 1291493544 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 213034424430312 in words is "two hundred thirteen trillion, thirty-four billion, four hundred twenty-four million, four hundred thirty thousand, three hundred twelve".