21142120113 has 24 divisors (see below), whose sum is σ = 31049441280. Its totient is φ = 13859134560.

The previous prime is 21142120093. The next prime is 21142120117. The reversal of 21142120113 is 31102124112.

21142120113 is a `hidden beast` number, since 211 + 421 + 20 + 1 + 13 = 666.

It is not a de Polignac number, because 21142120113 - 2⁵ = 21142120081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21142120117) 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 23 ways as a sum of consecutive naturals, for example, 2806570 + ... + 2814092.

It is an arithmetic number, because the mean of its divisors is an integer number (1293726720).

Almost surely, 2^21142120113 is an apocalyptic number.

It is an amenable number.

21142120113 is a deficient number, since it is larger than the sum of its proper divisors (9907321167).

21142120113 is a wasteful number, since it uses less digits than its factorization.

21142120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21142120113 its reverse (31102124112), we get a palindrome (52244244225).

The spelling of 21142120113 in words is "twenty-one billion, one hundred forty-two million, one hundred twenty thousand, one hundred thirteen".