21201113113 has 2 divisors, whose sum is σ = 21201113114. Its totient is φ = 21201113112.

The previous prime is 21201113107. The next prime is 21201113119. The reversal of 21201113113 is 31131110212.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (21201113107) and next prime (21201113119).

It can be written as a sum of positive squares in only one way, i.e., 13080039424 + 8121073689 = 114368^2 + 90117^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201113113 - 2⁹ = 21201112601 is a prime.

It is not a weakly prime, because it can be changed into another prime (21201113119) 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, 10600556556 + 10600556557.

It is an arithmetic number, because the mean of its divisors is an integer number (10600556557).

Almost surely, 2^21201113113 is an apocalyptic number.

It is an amenable number.

21201113113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201113113 is an equidigital number, since it uses as much as digits as its factorization.

21201113113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 21201113113 its reverse (31131110212), we get a palindrome (52332223325).

The spelling of 21201113113 in words is "twenty-one billion, two hundred one million, one hundred thirteen thousand, one hundred thirteen".