312130013 has 16 divisors (see below), whose sum is σ = 357010416. Its totient is φ = 270336000.

The previous prime is 312130009. The next prime is 312130073. The reversal of 312130013 is 310031213.

It can be written as a sum of positive squares in 8 ways, for example, as 44382244 + 267747769 = 6662^2 + 16363^2 .

It is a cyclic number.

It is not a de Polignac number, because 312130013 - 2² = 312130009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130003) 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, 76013 + ... + 80013.

It is an arithmetic number, because the mean of its divisors is an integer number (22313151).

Almost surely, 2^312130013 is an apocalyptic number.

It is an amenable number.

312130013 is a deficient number, since it is larger than the sum of its proper divisors (44880403).

312130013 is a wasteful number, since it uses less digits than its factorization.

312130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 312130013 is about 17667.2016176869. The cubic root of 312130013 is about 678.3364852578.

Adding to 312130013 its reverse (310031213), we get a palindrome (622161226).

It can be divided in two parts, 3121300 and 13, that multiplied together give a square (40576900 = 6370²).

The spelling of 312130013 in words is "three hundred twelve million, one hundred thirty thousand, thirteen".