22101332221313 has 4 divisors (see below), whose sum is σ = 22101599845380. Its totient is φ = 22101064597248.

The previous prime is 22101332221289. The next prime is 22101332221333. The reversal of 22101332221313 is 31312223310122.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 624845982784 + 21476486238529 = 790472^2 + 4634273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22101332221313 is a prime.

It is a super-3 number, since 3×22101332221313³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101332221333) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133688120 + ... + 133853337.

It is an arithmetic number, because the mean of its divisors is an integer number (5525399961345).

Almost surely, 2^{22101332221313} is an apocalyptic number.

It is an amenable number.

22101332221313 is a deficient number, since it is larger than the sum of its proper divisors (267624067).

22101332221313 is an equidigital number, since it uses as much as digits as its factorization.

22101332221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267624066.

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

Adding to 22101332221313 its reverse (31312223310122), we get a palindrome (53413555531435).

The spelling of 22101332221313 in words is "twenty-two trillion, one hundred one billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".