312113201300213 has 8 divisors (see below), whose sum is σ = 312496600147416. Its totient is φ = 311729810329600.

The previous prime is 312113201300209. The next prime is 312113201300267. The reversal of 312113201300213 is 312003102311213.

It can be written as a sum of positive squares in 4 ways, for example, as 3087671009329 + 309025530290884 = 1757177^2 + 17579122^2 .

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 312113201300213 - 2² = 312113201300209 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 (312113201300513) 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, 79393445 + ... + 83231877.

It is an arithmetic number, because the mean of its divisors is an integer number (39062075018427).

Almost surely, 2^{312113201300213} is an apocalyptic number.

It is an amenable number.

312113201300213 is a deficient number, since it is larger than the sum of its proper divisors (383398847203).

312113201300213 is an equidigital number, since it uses as much as digits as its factorization.

312113201300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938295.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312113201300213 its reverse (312003102311213), we get a palindrome (624116303611426).

The spelling of 312113201300213 in words is "three hundred twelve trillion, one hundred thirteen billion, two hundred one million, three hundred thousand, two hundred thirteen".