312113212101 has 6 divisors (see below), whose sum is σ = 450830195270. Its totient is φ = 208075474728.

The previous prime is 312113212079. The next prime is 312113212109. The reversal of 312113212101 is 101212311213.

312113212101 is a `hidden beast` number, since 31 + 211 + 321 + 2 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269102600001 + 43010612100 = 518751^2 + 207390^2 .

It is not a de Polignac number, because 312113212101 - 2⁹ = 312113211589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113212109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17339622886 + ... + 17339622903.

Almost surely, 2^312113212101 is an apocalyptic number.

It is an amenable number.

312113212101 is a deficient number, since it is larger than the sum of its proper divisors (138716983169).

312113212101 is a wasteful number, since it uses less digits than its factorization.

312113212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34679245795 (or 34679245792 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312113212101 its reverse (101212311213), we get a palindrome (413325523314).

The spelling of 312113212101 in words is "three hundred twelve billion, one hundred thirteen million, two hundred twelve thousand, one hundred one".