312312101213213 has 16 divisors (see below), whose sum is σ = 316638888459264. Its totient is φ = 308009577369600.

The previous prime is 312312101213159. The next prime is 312312101213269.

312312101213213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312312101213213 - 2⁶ = 312312101213149 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 (312312101213713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386172856 + ... + 1386398142.

It is an arithmetic number, because the mean of its divisors is an integer number (19789930528704).

Almost surely, 2^{312312101213213} is an apocalyptic number.

It is an amenable number.

312312101213213 is a deficient number, since it is larger than the sum of its proper divisors (4326787246051).

312312101213213 is a wasteful number, since it uses less digits than its factorization.

312312101213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279052.

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

It can be divided in two parts, 31231210 and 1213213, that added together give a palindrome (32444423).

The spelling of 312312101213213 in words is "three hundred twelve trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, two hundred thirteen".