22313012313213 has 12 divisors (see below), whose sum is σ = 33341282767260. Its totient is φ = 14362398730176.

The previous prime is 22313012313203. The next prime is 22313012313247. The reversal of 22313012313213 is 31231321031322.

22313012313213 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 301 + 2 + 31 + 321 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11861259984324 + 10451752328889 = 3444018^2 + 3232917^2 .

It is not a de Polignac number, because 22313012313213 - 2⁵ = 22313012313181 is a prime.

It is a super-3 number, since 3×22313012313213³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313012313203) 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 11 ways as a sum of consecutive naturals, for example, 42745234056 + ... + 42745234577.

It is an arithmetic number, because the mean of its divisors is an integer number (2778440230605).

Almost surely, 2^{22313012313213} is an apocalyptic number.

It is an amenable number.

22313012313213 is a deficient number, since it is larger than the sum of its proper divisors (11028270454047).

22313012313213 is a wasteful number, since it uses less digits than its factorization.

22313012313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85490468668 (or 85490468665 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22313012313213 its reverse (31231321031322), we get a palindrome (53544333344535).

The spelling of 22313012313213 in words is "twenty-two trillion, three hundred thirteen billion, twelve million, three hundred thirteen thousand, two hundred thirteen".