312131324311341 has 64 divisors (see below), whose sum is σ = 445479818895360. Its totient is φ = 193821018048000.

The previous prime is 312131324311267. The next prime is 312131324311349. The reversal of 312131324311341 is 143113423131213.

It is a happy number.

It is not a de Polignac number, because 312131324311341 - 2³⁸ = 311856446404397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131324311349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3999542281 + ... + 3999620321.

It is an arithmetic number, because the mean of its divisors is an integer number (6960622170240).

Almost surely, 2^{312131324311341} is an apocalyptic number.

It is an amenable number.

312131324311341 is a deficient number, since it is larger than the sum of its proper divisors (133348494584019).

312131324311341 is a wasteful number, since it uses less digits than its factorization.

312131324311341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80858.

The product of its digits is 15552, while the sum is 33.

Adding to 312131324311341 its reverse (143113423131213), we get a palindrome (455244747442554).

The spelling of 312131324311341 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred twenty-four million, three hundred eleven thousand, three hundred forty-one".