312887666788213 has 24 divisors (see below), whose sum is σ = 347150355473376. Its totient is φ = 281770112168160.

The previous prime is 312887666788133. The next prime is 312887666788217.

It is a happy number.

312887666788213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312887666788213 - 2⁹ = 312887666787701 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312887666788213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312887666788217) 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, 248433306 + ... + 249689572.

It is an arithmetic number, because the mean of its divisors is an integer number (14464598144724).

Almost surely, 2^{312887666788213} is an apocalyptic number.

It is an amenable number.

312887666788213 is a deficient number, since it is larger than the sum of its proper divisors (34262688685163).

312887666788213 is a wasteful number, since it uses less digits than its factorization.

312887666788213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275633 (or 1275622 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 76.

The spelling of 312887666788213 in words is "three hundred twelve trillion, eight hundred eighty-seven billion, six hundred sixty-six million, seven hundred eighty-eight thousand, two hundred thirteen".