312123101321213 has 12 divisors (see below), whose sum is σ = 391011357699900. Its totient is φ = 246954541704192.

The previous prime is 312123101321209. The next prime is 312123101321231.

312123101321213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 210440341059844 + 101682760261369 = 14506562^2 + 10083787^2 .

It is not a de Polignac number, because 312123101321213 - 2² = 312123101321209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312123101321263) 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 11 ways as a sum of consecutive naturals, for example, 244994584388 + ... + 244994585661.

It is an arithmetic number, because the mean of its divisors is an integer number (32584279808325).

Almost surely, 2^{312123101321213} is an apocalyptic number.

It is an amenable number.

312123101321213 is a deficient number, since it is larger than the sum of its proper divisors (78888256378687).

312123101321213 is a wasteful number, since it uses less digits than its factorization.

312123101321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489989170076 (or 489989170069 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 31212310 and 1321213, that added together give a palindrome (32533523).

The spelling of 312123101321213 in words is "three hundred twelve trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-one thousand, two hundred thirteen".