312311303113213 has 8 divisors (see below), whose sum is σ = 315890867736000. Its totient is φ = 308733304020768.

The previous prime is 312311303113193. The next prime is 312311303113223.

It is a happy number.

312311303113213 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 not a de Polignac number, because 312311303113213 - 2³⁷ = 312173864159741 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 (312311303113223) 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, 390981313 + ... + 391779286.

It is an arithmetic number, because the mean of its divisors is an integer number (39486358467000).

Almost surely, 2^{312311303113213} is an apocalyptic number.

It is an amenable number.

312311303113213 is a deficient number, since it is larger than the sum of its proper divisors (3579564622787).

312311303113213 is an equidigital number, since it uses as much as digits as its factorization.

312311303113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782765171.

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 31231130 and 3113213, that added together give a palindrome (34344343).

The spelling of 312311303113213 in words is "three hundred twelve trillion, three hundred eleven billion, three hundred three million, one hundred thirteen thousand, two hundred thirteen".