312413141314213 has 8 divisors (see below), whose sum is σ = 314285857175808. Its totient is φ = 310540449006384.

The previous prime is 312413141314133. The next prime is 312413141314229.

312413141314213 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312413141314213 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 (312413141314273) 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, 21088020 + ... + 32703682.

It is an arithmetic number, because the mean of its divisors is an integer number (39285732146976).

Almost surely, 2^{312413141314213} is an apocalyptic number.

It is an amenable number.

312413141314213 is a deficient number, since it is larger than the sum of its proper divisors (1872715861595).

312413141314213 is a wasteful number, since it uses less digits than its factorization.

312413141314213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776883.

The product of its digits is 20736, while the sum is 34.

The spelling of 312413141314213 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred forty-one million, three hundred fourteen thousand, two hundred thirteen".