312122343221213 has 16 divisors (see below), whose sum is σ = 361750337210880. Its totient is φ = 263776287264000.

The previous prime is 312122343221189. The next prime is 312122343221243.

312122343221213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312122343221213 - 2²⁴ = 312122326443997 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 312122343221213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312122343221243) 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 15 ways as a sum of consecutive naturals, for example, 923417468 + ... + 923755413.

It is an arithmetic number, because the mean of its divisors is an integer number (22609396075680).

Almost surely, 2^{312122343221213} is an apocalyptic number.

It is an amenable number.

312122343221213 is a deficient number, since it is larger than the sum of its proper divisors (49627993989667).

312122343221213 is a wasteful number, since it uses less digits than its factorization.

312122343221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847173228.

The product of its digits is 20736, while the sum is 32.

The spelling of 312122343221213 in words is "three hundred twelve trillion, one hundred twenty-two billion, three hundred forty-three million, two hundred twenty-one thousand, two hundred thirteen".