212105116313 has 8 divisors (see below), whose sum is σ = 212241760896. Its totient is φ = 211968514800.

The previous prime is 212105116303. The next prime is 212105116343. The reversal of 212105116313 is 313611501212.

212105116313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212105116313 - 2²² = 212100922009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212105116303) 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 7 ways as a sum of consecutive naturals, for example, 21482768 + ... + 21492638.

It is an arithmetic number, because the mean of its divisors is an integer number (26530220112).

Almost surely, 2^212105116313 is an apocalyptic number.

It is an amenable number.

212105116313 is a deficient number, since it is larger than the sum of its proper divisors (136644583).

212105116313 is an equidigital number, since it uses as much as digits as its factorization.

212105116313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21535.

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 212105116313 its reverse (313611501212), we get a palindrome (525716617525).

The spelling of 212105116313 in words is "two hundred twelve billion, one hundred five million, one hundred sixteen thousand, three hundred thirteen".