21000210000113 has 2 divisors, whose sum is σ = 21000210000114. Its totient is φ = 21000210000112.

The previous prime is 21000210000101. The next prime is 21000210000173. The reversal of 21000210000113 is 31100001200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17658417604864 + 3341792395249 = 4202192^2 + 1828057^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000210000113 - 2⁴ = 21000210000097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21000210000094 and 21000210000103.

It is not a weakly prime, because it can be changed into another prime (21000210000173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500105000056 + 10500105000057.

It is an arithmetic number, because the mean of its divisors is an integer number (10500105000057).

Almost surely, 2^{21000210000113} is an apocalyptic number.

It is an amenable number.

21000210000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000210000113 is an equidigital number, since it uses as much as digits as its factorization.

21000210000113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21000210000113 its reverse (31100001200012), we get a palindrome (52100211200125).

The spelling of 21000210000113 in words is "twenty-one trillion, two hundred ten million, one hundred thirteen", and thus it is an aban number.