312123401322213 has 16 divisors (see below), whose sum is σ = 451185092265600. Its totient is φ = 190786839008064.

The previous prime is 312123401322157. The next prime is 312123401322241. The reversal of 312123401322213 is 312223104321213.

It is not a de Polignac number, because 312123401322213 - 2⁸ = 312123401321957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123401321213) 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, 26856249681 + ... + 26856261302.

It is an arithmetic number, because the mean of its divisors is an integer number (28199068266600).

Almost surely, 2^{312123401322213} is an apocalyptic number.

It is an amenable number.

312123401322213 is a deficient number, since it is larger than the sum of its proper divisors (139061690943387).

312123401322213 is a wasteful number, since it uses less digits than its factorization.

312123401322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53712511148.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312123401322213 its reverse (312223104321213), we get a palindrome (624346505643426).

The spelling of 312123401322213 in words is "three hundred twelve trillion, one hundred twenty-three billion, four hundred one million, three hundred twenty-two thousand, two hundred thirteen".