312242242242213 has 6 divisors (see below), whose sum is σ = 451016572127654. Its totient is φ = 208161494828136.

The previous prime is 312242242242181. The next prime is 312242242242221.

It is a happy number.

312242242242213 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 4 + 2 + 2 + 422 + 4 + 221 + 3 = 666.

312242242242213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 305377092901764 + 6865149340449 = 17475042^2 + 2620143^2 .

It is not a de Polignac number, because 312242242242213 - 2⁵ = 312242242242181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312242242242223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17346791235670 + ... + 17346791235687.

Almost surely, 2^{312242242242213} is an apocalyptic number.

It is an amenable number.

312242242242213 is a deficient number, since it is larger than the sum of its proper divisors (138774329885441).

312242242242213 is a wasteful number, since it uses less digits than its factorization.

312242242242213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34693582471363 (or 34693582471360 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 312242242242213 in words is "three hundred twelve trillion, two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred thirteen".