21167105113 has 36 divisors (see below), whose sum is σ = 27278985216. Its totient is φ = 16363393200.

The previous prime is 21167105053. The next prime is 21167105143. The reversal of 21167105113 is 31150176112.

It is a de Polignac number, because none of the positive numbers 2^k-21167105113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21167105143) 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 35 ways as a sum of consecutive naturals, for example, 738928 + ... + 767038.

Almost surely, 2^21167105113 is an apocalyptic number.

It is an amenable number.

21167105113 is a deficient number, since it is larger than the sum of its proper divisors (6111880103).

21167105113 is a wasteful number, since it uses less digits than its factorization.

21167105113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28274 (or 28256 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 21167105113 in words is "twenty-one billion, one hundred sixty-seven million, one hundred five thousand, one hundred thirteen".