312313161313213 has 8 divisors (see below), whose sum is σ = 330758123762808. Its totient is φ = 293876376643584.

The previous prime is 312313161313193. The next prime is 312313161313243.

312313161313213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 262345821650649 + 49967339662564 = 16197093^2 + 7068758^2 .

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 312313161313213 - 2³⁷ = 312175722359741 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 (312313161313243) 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, 2044366356 + ... + 2044519117.

It is an arithmetic number, because the mean of its divisors is an integer number (41344765470351).

Almost surely, 2^{312313161313213} is an apocalyptic number.

It is an amenable number.

312313161313213 is a deficient number, since it is larger than the sum of its proper divisors (18444962449595).

312313161313213 is a wasteful number, since it uses less digits than its factorization.

312313161313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088889983.

The product of its digits is 17496, while the sum is 34.

The spelling of 312313161313213 in words is "three hundred twelve trillion, three hundred thirteen billion, one hundred sixty-one million, three hundred thirteen thousand, two hundred thirteen".