21313010100321 has 12 divisors (see below), whose sum is σ = 31244943497872. Its totient is φ = 13996603647576.

The previous prime is 21313010100247. The next prime is 21313010100331. The reversal of 21313010100321 is 12300101031312.

21313010100321 is a `hidden beast` number, since 2 + 1 + 31 + 301 + 0 + 10 + 0 + 321 = 666.

It is not a de Polignac number, because 21313010100321 - 2¹⁵ = 21313010067553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21313010100294 and 21313010100303.

It is not an unprimeable number, because it can be changed into a prime (21313010100331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17672478751 + ... + 17672479956.

Almost surely, 2^{21313010100321} is an apocalyptic number.

It is an amenable number.

21313010100321 is a deficient number, since it is larger than the sum of its proper divisors (9931933397551).

21313010100321 is a wasteful number, since it uses less digits than its factorization.

21313010100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35344958780 (or 35344958777 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21313010100321 its reverse (12300101031312), we get a palindrome (33613111131633).

The spelling of 21313010100321 in words is "twenty-one trillion, three hundred thirteen billion, ten million, one hundred thousand, three hundred twenty-one".