312121442331 has 24 divisors (see below), whose sum is σ = 477565287264. Its totient is φ = 195757589760.

The previous prime is 312121442329. The next prime is 312121442357. The reversal of 312121442331 is 133244121213.

312121442331 is a `hidden beast` number, since 3 + 1 + 21 + 214 + 423 + 3 + 1 = 666.

It is not a de Polignac number, because 312121442331 - 2¹ = 312121442329 is a prime.

It is a super-2 number, since 2×312121442331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312121442295 and 312121442304.

It is not an unprimeable number, because it can be changed into a prime (312121442131) 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 23 ways as a sum of consecutive naturals, for example, 72135 + ... + 793376.

It is an arithmetic number, because the mean of its divisors is an integer number (19898553636).

Almost surely, 2^312121442331 is an apocalyptic number.

312121442331 is a deficient number, since it is larger than the sum of its proper divisors (165443844933).

312121442331 is a wasteful number, since it uses less digits than its factorization.

312121442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867891 (or 867888 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 312121442331 its reverse (133244121213), we get a palindrome (445365563544).

The spelling of 312121442331 in words is "three hundred twelve billion, one hundred twenty-one million, four hundred forty-two thousand, three hundred thirty-one".