312312404213213 has 8 divisors (see below), whose sum is σ = 315643368373176. Its totient is φ = 308986121664000.

The previous prime is 312312404213149. The next prime is 312312404213281.

312312404213213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 178751899654969 + 133560504558244 = 13369813^2 + 11556838^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312312404213213 - 2⁶ = 312312404213149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312312404213213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312404219213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170268556 + ... + 1170535397.

It is an arithmetic number, because the mean of its divisors is an integer number (39455421046647).

Almost surely, 2^{312312404213213} is an apocalyptic number.

It is an amenable number.

312312404213213 is a deficient number, since it is larger than the sum of its proper divisors (3330964159963).

312312404213213 is a wasteful number, since it uses less digits than its factorization.

312312404213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340805375.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 31231240 and 4213213, that added together give a palindrome (35444453).

The spelling of 312312404213213 in words is "three hundred twelve trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, two hundred thirteen".