312231011013 has 8 divisors (see below), whose sum is σ = 462564460800. Its totient is φ = 208154007324.

The previous prime is 312231011011. The next prime is 312231011039. The reversal of 312231011013 is 310110132213.

312231011013 is a `hidden beast` number, since 312 + 231 + 0 + 110 + 13 = 666.

It is not a de Polignac number, because 312231011013 - 2¹ = 312231011011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231011011) 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 7 ways as a sum of consecutive naturals, for example, 5782055733 + ... + 5782055786.

It is an arithmetic number, because the mean of its divisors is an integer number (57820557600).

Almost surely, 2^312231011013 is an apocalyptic number.

It is an amenable number.

312231011013 is a deficient number, since it is larger than the sum of its proper divisors (150333449787).

312231011013 is a wasteful number, since it uses less digits than its factorization.

312231011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564111528 (or 11564111522 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312231011013 its reverse (310110132213), we get a palindrome (622341143226).

The spelling of 312231011013 in words is "three hundred twelve billion, two hundred thirty-one million, eleven thousand, thirteen".