312123333331321 has 32 divisors (see below), whose sum is σ = 353105401697280. Its totient is φ = 274330285824000.

The previous prime is 312123333331193. The next prime is 312123333331351. The reversal of 312123333331321 is 123133333321213.

It is a cyclic number.

It is not a de Polignac number, because 312123333331321 - 2⁷ = 312123333331193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312123333331351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21596421 + ... + 33025021.

It is an arithmetic number, because the mean of its divisors is an integer number (11034543803040).

Almost surely, 2^{312123333331321} is an apocalyptic number.

312123333331321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312123333331321 is a deficient number, since it is larger than the sum of its proper divisors (40982068365959).

312123333331321 is a wasteful number, since it uses less digits than its factorization.

312123333331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430465.

The product of its digits is 52488, while the sum is 34.

Adding to 312123333331321 its reverse (123133333321213), we get a palindrome (435256666652534).

The spelling of 312123333331321 in words is "three hundred twelve trillion, one hundred twenty-three billion, three hundred thirty-three million, three hundred thirty-one thousand, three hundred twenty-one".