312101311221 has 64 divisors (see below), whose sum is σ = 552257740800. Its totient is φ = 170324339328.

The previous prime is 312101311217. The next prime is 312101311229. The reversal of 312101311221 is 122113101213.

312101311221 is a `hidden beast` number, since 31 + 2 + 101 + 311 + 221 = 666.

It is not a de Polignac number, because 312101311221 - 2² = 312101311217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312101311194 and 312101311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101311229) 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 63 ways as a sum of consecutive naturals, for example, 2757025 + ... + 2867993.

It is an arithmetic number, because the mean of its divisors is an integer number (8629027200).

Almost surely, 2^312101311221 is an apocalyptic number.

It is an amenable number.

312101311221 is a deficient number, since it is larger than the sum of its proper divisors (240156429579).

312101311221 is a wasteful number, since it uses less digits than its factorization.

312101311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111655 (or 111649 counting only the distinct ones).

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

Adding to 312101311221 its reverse (122113101213), we get a palindrome (434214412434).

It can be divided in two parts, 31210 and 1311221, that added together give a palindrome (1342431).

The spelling of 312101311221 in words is "three hundred twelve billion, one hundred one million, three hundred eleven thousand, two hundred twenty-one".