21321100020113 has 8 divisors (see below), whose sum is σ = 21337093619400. Its totient is φ = 21305108671488.

The previous prime is 21321100020053. The next prime is 21321100020137. The reversal of 21321100020113 is 31102000112312.

It can be written as a sum of positive squares in 4 ways, for example, as 6166639825984 + 15154460194129 = 2483272^2 + 3892873^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 21321100020113 - 2¹² = 21321100016017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21321100020091 and 21321100020100.

It is not an unprimeable number, because it can be changed into a prime (21321100820113) 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, 18636245 + ... + 19747197.

It is an arithmetic number, because the mean of its divisors is an integer number (2667136702425).

Almost surely, 2^{21321100020113} is an apocalyptic number.

It is an amenable number.

21321100020113 is a deficient number, since it is larger than the sum of its proper divisors (15993599287).

21321100020113 is a wasteful number, since it uses less digits than its factorization.

21321100020113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125331.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21321100020113 its reverse (31102000112312), we get a palindrome (52423100132425).

The spelling of 21321100020113 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred million, twenty thousand, one hundred thirteen".