312314413213 has 48 divisors (see below), whose sum is σ = 363351744000. Its totient is φ = 267706208000.

The previous prime is 312314413211. The next prime is 312314413253.

312314413213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312314413213 - 2¹ = 312314413211 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 (312314413211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67176513 + ... + 67181161.

It is an arithmetic number, because the mean of its divisors is an integer number (7569828000).

Almost surely, 2^312314413213 is an apocalyptic number.

It is an amenable number.

312314413213 is a deficient number, since it is larger than the sum of its proper divisors (51037330787).

312314413213 is a wasteful number, since it uses less digits than its factorization.

312314413213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5023 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

It can be divided in two parts, 312314 and 413213, that added together give a palindrome (725527).

The spelling of 312314413213 in words is "three hundred twelve billion, three hundred fourteen million, four hundred thirteen thousand, two hundred thirteen".