312131402241113 has 16 divisors (see below), whose sum is σ = 384191135682816. Its totient is φ = 246942203135040.

The previous prime is 312131402241103. The next prime is 312131402241157. The reversal of 312131402241113 is 311142204131213.

It is not a de Polignac number, because 312131402241113 - 2¹⁶ = 312131402175577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312131402241103) 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 15 ways as a sum of consecutive naturals, for example, 130098698 + ... + 132476163.

It is an arithmetic number, because the mean of its divisors is an integer number (24011945980176).

Almost surely, 2^{312131402241113} is an apocalyptic number.

It is an amenable number.

312131402241113 is a deficient number, since it is larger than the sum of its proper divisors (72059733441703).

312131402241113 is a wasteful number, since it uses less digits than its factorization.

312131402241113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262587944.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 312131402241113 its reverse (311142204131213), we get a palindrome (623273606372326).

The spelling of 312131402241113 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred two million, two hundred forty-one thousand, one hundred thirteen".