312013141310213 has 8 divisors (see below), whose sum is σ = 356586865360320. Its totient is φ = 267439521797280.

The previous prime is 312013141310201. The next prime is 312013141310231.

312013141310213 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 312013141310213 - 2⁴ = 312013141310197 is a prime.

It is a super-2 number, since 2×312013141310213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312013141310413) 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, 19630583 + ... + 31770836.

It is an arithmetic number, because the mean of its divisors is an integer number (44573358170040).

Almost surely, 2^{312013141310213} is an apocalyptic number.

It is an amenable number.

312013141310213 is a deficient number, since it is larger than the sum of its proper divisors (44573724050107).

312013141310213 is an equidigital number, since it uses as much as digits as its factorization.

312013141310213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52268587.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 312013141310213 in words is "three hundred twelve trillion, thirteen billion, one hundred forty-one million, three hundred ten thousand, two hundred thirteen".