312031412313021 has 12 divisors (see below), whose sum is σ = 450718765816540. Its totient is φ = 208017837322560.

The previous prime is 312031412313007. The next prime is 312031412313037. The reversal of 312031412313021 is 120313214130213.

312031412313021 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 314 + 12 + 31 + 302 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47981749656996 + 264049662656025 = 6926886^2 + 16249605^2 .

It is a de Polignac number, because none of the positive numbers 2^k-312031412313021 is a prime.

It is a super-2 number, since 2×312031412313021² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031412313091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258048256 + ... + 259254633.

Almost surely, 2^{312031412313021} is an apocalyptic number.

It is an amenable number.

312031412313021 is a deficient number, since it is larger than the sum of its proper divisors (138687353503519).

312031412313021 is a wasteful number, since it uses less digits than its factorization.

312031412313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517369916 (or 517369913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312031412313021 its reverse (120313214130213), we get a palindrome (432344626443234).

The spelling of 312031412313021 in words is "three hundred twelve trillion, thirty-one billion, four hundred twelve million, three hundred thirteen thousand, twenty-one".