221222132102313 has 24 divisors (see below), whose sum is σ = 327365652180840. Its totient is φ = 143871637155840.

The previous prime is 221222132102291. The next prime is 221222132102357. The reversal of 221222132102313 is 313201231222122.

221222132102313 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 21 + 321 + 0 + 2 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58002460569 + 221164129641744 = 240837^2 + 14871588^2 .

It is not a de Polignac number, because 221222132102313 - 2³⁷ = 221084693148841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221222132102113) 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 23 ways as a sum of consecutive naturals, for example, 22214248 + ... + 30592761.

It is an arithmetic number, because the mean of its divisors is an integer number (13640235507535).

Almost surely, 2^{221222132102313} is an apocalyptic number.

It is an amenable number.

221222132102313 is a deficient number, since it is larger than the sum of its proper divisors (106143520078527).

221222132102313 is a wasteful number, since it uses less digits than its factorization.

221222132102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52818409 (or 52818406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221222132102313 its reverse (313201231222122), we get a palindrome (534423363324435).

The spelling of 221222132102313 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred thirty-two million, one hundred two thousand, three hundred thirteen".