312113221101 has 48 divisors (see below), whose sum is σ = 494267304960. Its totient is φ = 188217540000.

The previous prime is 312113221061. The next prime is 312113221117. The reversal of 312113221101 is 101122311213.

312113221101 is a `hidden beast` number, since 31 + 211 + 322 + 1 + 101 = 666.

It is not a de Polignac number, because 312113221101 - 2⁷ = 312113220973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113221171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34327566 + ... + 34336656.

It is an arithmetic number, because the mean of its divisors is an integer number (10297235520).

Almost surely, 2^312113221101 is an apocalyptic number.

It is an amenable number.

312113221101 is a deficient number, since it is larger than the sum of its proper divisors (182154083859).

312113221101 is a wasteful number, since it uses less digits than its factorization.

312113221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10795 counting only the distinct ones).

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

Adding to 312113221101 its reverse (101122311213), we get a palindrome (413235532314).

The spelling of 312113221101 in words is "three hundred twelve billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred one".