21100233200113 has 8 divisors (see below), whose sum is σ = 21146779069416. Its totient is φ = 21053690688000.

The previous prime is 21100233200089. The next prime is 21100233200129. The reversal of 21100233200113 is 31100233200112.

It can be written as a sum of positive squares in 4 ways, for example, as 2637596868624 + 18462636331489 = 1624068^2 + 4296817^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100233200113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21100233200143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11959713 + ... + 13610113.

It is an arithmetic number, because the mean of its divisors is an integer number (2643347383677).

Almost surely, 2^{21100233200113} is an apocalyptic number.

It is an amenable number.

21100233200113 is a deficient number, since it is larger than the sum of its proper divisors (46545869303).

21100233200113 is a wasteful number, since it uses less digits than its factorization.

21100233200113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678595.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21100233200113 its reverse (31100233200112), we get a palindrome (52200466400225).

Subtracting 21100233200113 from its reverse (31100233200112), we obtain a palindrome (9999999999999).

The spelling of 21100233200113 in words is "twenty-one trillion, one hundred billion, two hundred thirty-three million, two hundred thousand, one hundred thirteen".