312130130013 has 24 divisors (see below), whose sum is σ = 485560698168. Its totient is φ = 192070213632.

The previous prime is 312130129931. The next prime is 312130130047. The reversal of 312130130013 is 310031031213.

It is a happy number.

312130130013 is a `hidden beast` number, since 31 + 21 + 301 + 300 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18742157604 + 293387972409 = 136902^2 + 541653^2 .

It is not a de Polignac number, because 312130130013 - 2⁸ = 312130129757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130130813) 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 23 ways as a sum of consecutive naturals, for example, 2692381 + ... + 2805917.

It is an arithmetic number, because the mean of its divisors is an integer number (20231695757).

Almost surely, 2^312130130013 is an apocalyptic number.

It is an amenable number.

312130130013 is a deficient number, since it is larger than the sum of its proper divisors (173430568155).

312130130013 is a wasteful number, since it uses less digits than its factorization.

312130130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137053 (or 137050 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 312130130013 its reverse (310031031213), we get a palindrome (622161161226).

The spelling of 312130130013 in words is "three hundred twelve billion, one hundred thirty million, one hundred thirty thousand, thirteen".