312242202242213 has 4 divisors (see below), whose sum is σ = 330609390609420. Its totient is φ = 293875013875008.

The previous prime is 312242202242147. The next prime is 312242202242231.

312242202242213 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 199460202349444 + 112781999892769 = 14123038^2 + 10619887^2 .

It is a cyclic number.

It is not a de Polignac number, because 312242202242213 - 2²² = 312242198047909 is a prime.

It is a super-2 number, since 2×312242202242213² (a number of 30 digits) contains 22 as substring.

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 312242202242213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312242202245213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9183594183578 + ... + 9183594183611.

It is an arithmetic number, because the mean of its divisors is an integer number (82652347652355).

Almost surely, 2^{312242202242213} is an apocalyptic number.

It is an amenable number.

312242202242213 is a deficient number, since it is larger than the sum of its proper divisors (18367188367207).

312242202242213 is a wasteful number, since it uses less digits than its factorization.

312242202242213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367188367206.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 31224220 and 2242213, that added together give a palindrome (33466433).

The spelling of 312242202242213 in words is "three hundred twelve trillion, two hundred forty-two billion, two hundred two million, two hundred forty-two thousand, two hundred thirteen".