312234303432213 has 48 divisors (see below), whose sum is σ = 460438161361776. Its totient is φ = 203834644715520.

The previous prime is 312234303432143. The next prime is 312234303432223.

312234303432213 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 4 + 3 + 0 + 3 + 432 + 213 = 666.

312234303432213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2763650230929 + 309470653201284 = 1662423^2 + 17591778^2 .

It is not a de Polignac number, because 312234303432213 - 2¹⁶ = 312234303366677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312234303432223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124007395 + ... + 126500207.

It is an arithmetic number, because the mean of its divisors is an integer number (9592461695037).

Almost surely, 2^{312234303432213} is an apocalyptic number.

It is an amenable number.

312234303432213 is a deficient number, since it is larger than the sum of its proper divisors (148203857929563).

312234303432213 is a wasteful number, since it uses less digits than its factorization.

312234303432213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493894 (or 2493891 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 31223430 and 3432213, that added together give a palindrome (34655643).

The spelling of 312234303432213 in words is "three hundred twelve trillion, two hundred thirty-four billion, three hundred three million, four hundred thirty-two thousand, two hundred thirteen".