312323222323213 has 8 divisors (see below), whose sum is σ = 317424547595160. Its totient is φ = 307261289524800.

The previous prime is 312323222323171. The next prime is 312323222323249.

312323222323213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 178012112725924 + 134311109597289 = 13342118^2 + 11589267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312323222323213 - 2¹⁷ = 312323222192141 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 (312323222329213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9848102398 + ... + 9848134111.

It is an arithmetic number, because the mean of its divisors is an integer number (39678068449395).

Almost surely, 2^{312323222323213} is an apocalyptic number.

It is an amenable number.

312323222323213 is a deficient number, since it is larger than the sum of its proper divisors (5101325271947).

312323222323213 is a wasteful number, since it uses less digits than its factorization.

312323222323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19696236767.

The product of its digits is 93312, while the sum is 34.

The spelling of 312323222323213 in words is "three hundred twelve trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-three thousand, two hundred thirteen".