312342314100131 has 12 divisors (see below), whose sum is σ = 364483151075808. Its totient is φ = 266877434657232.

The previous prime is 312342314100121. The next prime is 312342314100169. The reversal of 312342314100131 is 131001413243213.

It is not a de Polignac number, because 312342314100131 - 2³⁴ = 312325134230947 is a prime.

It is a super-2 number, since 2×312342314100131² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312342314100094 and 312342314100103.

It is not an unprimeable number, because it can be changed into a prime (312342314100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10054137371 + ... + 10054168436.

It is an arithmetic number, because the mean of its divisors is an integer number (30373595922984).

Almost surely, 2^{312342314100131} is an apocalyptic number.

312342314100131 is a deficient number, since it is larger than the sum of its proper divisors (52140836975677).

312342314100131 is a wasteful number, since it uses less digits than its factorization.

312342314100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108306138 (or 20108306131 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 312342314100131 its reverse (131001413243213), we get a palindrome (443343727343344).

The spelling of 312342314100131 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred fourteen million, one hundred thousand, one hundred thirty-one".