312112141211213 has 32 divisors (see below), whose sum is σ = 360412132331520. Its totient is φ = 264742983489600.

The previous prime is 312112141211203. The next prime is 312112141211231.

312112141211213 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-312112141211213 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 (312112141211203) 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, 13653785378 + ... + 13653808236.

It is an arithmetic number, because the mean of its divisors is an integer number (11262879135360).

Almost surely, 2^{312112141211213} is an apocalyptic number.

It is an amenable number.

312112141211213 is a deficient number, since it is larger than the sum of its proper divisors (48299991120307).

312112141211213 is a wasteful number, since it uses less digits than its factorization.

312112141211213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31817.

The product of its digits is 576, while the sum is 26.

The spelling of 312112141211213 in words is "three hundred twelve trillion, one hundred twelve billion, one hundred forty-one million, two hundred eleven thousand, two hundred thirteen".