21727102326813 has 48 divisors (see below), whose sum is σ = 34438602495024. Its totient is φ = 13117033313280.

The previous prime is 21727102326793. The next prime is 21727102326851. The reversal of 21727102326813 is 31862320172712.

21727102326813 is a `hidden beast` number, since 217 + 2 + 7 + 102 + 326 + 8 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7101388214649 + 14625714112164 = 2664843^2 + 3824358^2 .

It is not a de Polignac number, because 21727102326813 - 2¹⁷ = 21727102195741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21727102326863) 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 47 ways as a sum of consecutive naturals, for example, 69052395 + ... + 69366327.

It is an arithmetic number, because the mean of its divisors is an integer number (717470885313).

Almost surely, 2^{21727102326813} is an apocalyptic number.

It is an amenable number.

21727102326813 is a deficient number, since it is larger than the sum of its proper divisors (12711500168211).

21727102326813 is a wasteful number, since it uses less digits than its factorization.

21727102326813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325166 (or 325163 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21727102326813 in words is "twenty-one trillion, seven hundred twenty-seven billion, one hundred two million, three hundred twenty-six thousand, eight hundred thirteen".