21113201210113 has 16 divisors (see below), whose sum is σ = 21273171987600. Its totient is φ = 20953887356160.

The previous prime is 21113201210041. The next prime is 21113201210117. The reversal of 21113201210113 is 31101210231112.

It can be written as a sum of positive squares in 8 ways, for example, as 6949592619264 + 14163608590849 = 2636208^2 + 3763457^2 .

It is a cyclic number.

It is not a de Polignac number, because 21113201210113 - 2¹⁷ = 21113201079041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21113201210117) 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 in 15 ways as a sum of consecutive naturals, for example, 144327195 + ... + 144473407.

It is an arithmetic number, because the mean of its divisors is an integer number (1329573249225).

Almost surely, 2^{21113201210113} is an apocalyptic number.

It is an amenable number.

21113201210113 is a deficient number, since it is larger than the sum of its proper divisors (159970777487).

21113201210113 is a wasteful number, since it uses less digits than its factorization.

21113201210113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148452.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21113201210113 its reverse (31101210231112), we get a palindrome (52214411441225).

The spelling of 21113201210113 in words is "twenty-one trillion, one hundred thirteen billion, two hundred one million, two hundred ten thousand, one hundred thirteen".