312144313013 has 16 divisors (see below), whose sum is σ = 337907539200. Its totient is φ = 286631934336.

The previous prime is 312144313003. The next prime is 312144313021. The reversal of 312144313013 is 310313441213.

It is a cyclic number.

It is not a de Polignac number, because 312144313013 - 2²⁰ = 312143264437 is a prime.

It is a super-2 number, since 2×312144313013² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312144313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22983881 + ... + 22997457.

It is an arithmetic number, because the mean of its divisors is an integer number (21119221200).

Almost surely, 2^312144313013 is an apocalyptic number.

It is an amenable number.

312144313013 is a deficient number, since it is larger than the sum of its proper divisors (25763226187).

312144313013 is a wasteful number, since it uses less digits than its factorization.

312144313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22676.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312144313013 its reverse (310313441213), we get a palindrome (622457754226).

The spelling of 312144313013 in words is "three hundred twelve billion, one hundred forty-four million, three hundred thirteen thousand, thirteen".