222032003312313 has 12 divisors (see below), whose sum is σ = 322865329203300. Its totient is φ = 147027903758496.

The previous prime is 222032003312309. The next prime is 222032003312347. The reversal of 222032003312313 is 313213300230222.

222032003312313 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 32 + 0 + 0 + 3 + 312 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94993248616704 + 127038754695609 = 9746448^2 + 11271147^2 .

It is not a de Polignac number, because 222032003312313 - 2² = 222032003312309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222032003312813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82785980506 + ... + 82785983187.

It is an arithmetic number, because the mean of its divisors is an integer number (26905444100275).

Almost surely, 2^{222032003312313} is an apocalyptic number.

It is an amenable number.

222032003312313 is a deficient number, since it is larger than the sum of its proper divisors (100833325890987).

222032003312313 is a wasteful number, since it uses less digits than its factorization.

222032003312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165571963848 (or 165571963845 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 222032003312313 its reverse (313213300230222), we get a palindrome (535245303542535).

The spelling of 222032003312313 in words is "two hundred twenty-two trillion, thirty-two billion, three million, three hundred twelve thousand, three hundred thirteen".