312124444421213 has 8 divisors (see below), whose sum is σ = 312303116309496. Its totient is φ = 311945816044800.

The previous prime is 312124444421171. The next prime is 312124444421233.

312124444421213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 373794063769 + 311750650357444 = 611387^2 + 17656462^2 .

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 312124444421213 - 2²² = 312124440226909 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312124444421233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3478193 + ... + 25225913.

It is an arithmetic number, because the mean of its divisors is an integer number (39037889538687).

Almost surely, 2^{312124444421213} is an apocalyptic number.

It is an amenable number.

312124444421213 is a deficient number, since it is larger than the sum of its proper divisors (178671888283).

312124444421213 is a wasteful number, since it uses less digits than its factorization.

312124444421213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21755935.

The product of its digits is 147456, while the sum is 38.

The spelling of 312124444421213 in words is "three hundred twelve trillion, one hundred twenty-four billion, four hundred forty-four million, four hundred twenty-one thousand, two hundred thirteen".