212013223123113 has 12 divisors (see below), whose sum is σ = 306431652528820. Its totient is φ = 141254304022656.

The previous prime is 212013223123073. The next prime is 212013223123123. The reversal of 212013223123113 is 311321322310212.

212013223123113 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 32 + 2 + 312 + 311 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130229361828864 + 81783861294249 = 11411808^2 + 9043443^2 .

It is not a de Polignac number, because 212013223123113 - 2¹⁰ = 212013223122089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212013223123123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7320378556 + ... + 7320407517.

Almost surely, 2^{212013223123113} is an apocalyptic number.

It is an amenable number.

212013223123113 is a deficient number, since it is larger than the sum of its proper divisors (94418429405707).

212013223123113 is a wasteful number, since it uses less digits than its factorization.

212013223123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640787688 (or 14640787685 counting only the distinct ones).

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

Adding to 212013223123113 its reverse (311321322310212), we get a palindrome (523334545433325).

The spelling of 212013223123113 in words is "two hundred twelve trillion, thirteen billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred thirteen".