312114121411213 has 24 divisors (see below), whose sum is σ = 347917339869120. Its totient is φ = 279729446673600.

The previous prime is 312114121411181. The next prime is 312114121411241.

It is a happy number.

312114121411213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312114121411213 - 2⁵ = 312114121411181 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 (312114128411213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168657481 + ... + 170498017.

It is an arithmetic number, because the mean of its divisors is an integer number (14496555827880).

Almost surely, 2^{312114121411213} is an apocalyptic number.

It is an amenable number.

312114121411213 is a deficient number, since it is larger than the sum of its proper divisors (35803218457907).

312114121411213 is a wasteful number, since it uses less digits than its factorization.

312114121411213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860369 (or 1860358 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The spelling of 312114121411213 in words is "three hundred twelve trillion, one hundred fourteen billion, one hundred twenty-one million, four hundred eleven thousand, two hundred thirteen".