312110040011213 has 8 divisors (see below), whose sum is σ = 312156347286168. Its totient is φ = 312063733629504.

The previous prime is 312110040011201. The next prime is 312110040011243.

312110040011213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 11226775007044 + 300883265004169 = 3350638^2 + 17345987^2 .

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 312110040011213 - 2⁴ = 312110040011197 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 (312110040011243) 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 7 ways as a sum of consecutive naturals, for example, 1071024395 + ... + 1071315767.

It is an arithmetic number, because the mean of its divisors is an integer number (39019543410771).

Almost surely, 2^{312110040011213} is an apocalyptic number.

It is an amenable number.

312110040011213 is a deficient number, since it is larger than the sum of its proper divisors (46307274955).

312110040011213 is a wasteful number, since it uses less digits than its factorization.

312110040011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446623.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 312110040011213 in words is "three hundred twelve trillion, one hundred ten billion, forty million, eleven thousand, two hundred thirteen".