21164006113 has 2 divisors, whose sum is σ = 21164006114. Its totient is φ = 21164006112.

The previous prime is 21164006099. The next prime is 21164006137. The reversal of 21164006113 is 31160046112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18390614544 + 2773391569 = 135612^2 + 52663^2 .

It is a cyclic number.

It is not a de Polignac number, because 21164006113 - 2⁵ = 21164006081 is a prime.

It is a super-2 number, since 2×21164006113² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21164006183) 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 as a sum of consecutive naturals, namely, 10582003056 + 10582003057.

It is an arithmetic number, because the mean of its divisors is an integer number (10582003057).

Almost surely, 2^21164006113 is an apocalyptic number.

It is an amenable number.

21164006113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21164006113 is an equidigital number, since it uses as much as digits as its factorization.

21164006113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 21164006113 in words is "twenty-one billion, one hundred sixty-four million, six thousand, one hundred thirteen".