312321121123213 has 16 divisors (see below), whose sum is σ = 329655694984000. Its totient is φ = 295076347517952.

The previous prime is 312321121123211. The next prime is 312321121123243.

312321121123213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312321121123213 - 2¹ = 312321121123211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312321121123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79665931 + ... + 83494327.

It is an arithmetic number, because the mean of its divisors is an integer number (20603480936500).

Almost surely, 2^{312321121123213} is an apocalyptic number.

It is an amenable number.

312321121123213 is a deficient number, since it is larger than the sum of its proper divisors (17334573860787).

312321121123213 is a wasteful number, since it uses less digits than its factorization.

312321121123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840124.

The product of its digits is 2592, while the sum is 28.

The spelling of 312321121123213 in words is "three hundred twelve trillion, three hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred thirteen".