21313022221313 has 16 divisors (see below), whose sum is σ = 22780109111760. Its totient is φ = 19869746743296.

The previous prime is 21313022221307. The next prime is 21313022221333. The reversal of 21313022221313 is 31312222031312.

It can be written as a sum of positive squares in 8 ways, for example, as 5517580196209 + 15795442025104 = 2348953^2 + 3974348^2 .

It is a cyclic number.

It is not a de Polignac number, because 21313022221313 - 2⁴ = 21313022221297 is a prime.

It is a super-3 number, since 3×21313022221313³ (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 (21313022221333) 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 15 ways as a sum of consecutive naturals, for example, 5057231 + ... + 8258427.

It is an arithmetic number, because the mean of its divisors is an integer number (1423756819485).

Almost surely, 2^{21313022221313} is an apocalyptic number.

It is an amenable number.

21313022221313 is a deficient number, since it is larger than the sum of its proper divisors (1467086890447).

21313022221313 is a wasteful number, since it uses less digits than its factorization.

21313022221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204916.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 21313022221313 its reverse (31312222031312), we get a palindrome (52625244252625).

The spelling of 21313022221313 in words is "twenty-one trillion, three hundred thirteen billion, twenty-two million, two hundred twenty-one thousand, three hundred thirteen".