21305820683301 has 32 divisors (see below), whose sum is σ = 36559967133696. Its totient is φ = 10710927864000.

The previous prime is 21305820683237. The next prime is 21305820683311. The reversal of 21305820683301 is 10338602850312.

It is a happy number.

It is not a de Polignac number, because 21305820683301 - 2⁶ = 21305820683237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21305820683311) 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 31 ways as a sum of consecutive naturals, for example, 1487621710 + ... + 1487636031.

It is an arithmetic number, because the mean of its divisors is an integer number (1142498972928).

Almost surely, 2^{21305820683301} is an apocalyptic number.

21305820683301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21305820683301 is a deficient number, since it is larger than the sum of its proper divisors (15254146450395).

21305820683301 is a wasteful number, since it uses less digits than its factorization.

21305820683301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975257793.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 21305820683301 in words is "twenty-one trillion, three hundred five billion, eight hundred twenty million, six hundred eighty-three thousand, three hundred one".