21300011323201 has 8 divisors (see below), whose sum is σ = 22939988135400. Its totient is φ = 19660250854272.

The previous prime is 21300011323183. The next prime is 21300011323223. The reversal of 21300011323201 is 10232311000312.

It can be written as a sum of positive squares in 4 ways, for example, as 6683336596225 + 14616674726976 = 2585215^2 + 3823176^2 .

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 21300011323201 - 2⁵ = 21300011323169 is a prime.

It is a super-3 number, since 3×21300011323201³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21300011393201) 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, 53881300 + ... + 54275173.

It is an arithmetic number, because the mean of its divisors is an integer number (2867498516925).

Almost surely, 2^{21300011323201} is an apocalyptic number.

It is an amenable number.

21300011323201 is a deficient number, since it is larger than the sum of its proper divisors (1639976812199).

21300011323201 is a wasteful number, since it uses less digits than its factorization.

21300011323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108171635.

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

Adding to 21300011323201 its reverse (10232311000312), we get a palindrome (31532322323513).

The spelling of 21300011323201 in words is "twenty-one trillion, three hundred billion, eleven million, three hundred twenty-three thousand, two hundred one".