312032464230213 has 48 divisors (see below), whose sum is σ = 455663290672512. Its totient is φ = 205741611600000.

The previous prime is 312032464230209. The next prime is 312032464230217.

312032464230213 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 3 + 2 + 4 + 642 + 3 + 0 + 2 + 1 + 3 = 666.

312032464230213 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (312032464230209) and next prime (312032464230217).

It is not a de Polignac number, because 312032464230213 - 2² = 312032464230209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312032464230217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10114161238 + ... + 10114192088.

It is an arithmetic number, because the mean of its divisors is an integer number (9492985222344).

Almost surely, 2^{312032464230213} is an apocalyptic number.

It is an amenable number.

312032464230213 is a deficient number, since it is larger than the sum of its proper divisors (143630826442299).

312032464230213 is a wasteful number, since it uses less digits than its factorization.

312032464230213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42506 (or 42503 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 312032464230213 in words is "three hundred twelve trillion, thirty-two billion, four hundred sixty-four million, two hundred thirty thousand, two hundred thirteen".