10222033322313 has 12 divisors (see below), whose sum is σ = 14786222247108. Its totient is φ = 6804967495200.

The previous prime is 10222033322279. The next prime is 10222033322381. The reversal of 10222033322313 is 31322333022201.

10222033322313 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 20 + 3 + 3 + 322 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5306425530624 + 4915607791689 = 2303568^2 + 2217117^2 .

It is not a de Polignac number, because 10222033322313 - 2¹⁶ = 10222033256777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222033326313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810108870 + ... + 810121487.

It is an arithmetic number, because the mean of its divisors is an integer number (1232185187259).

Almost surely, 2^{10222033322313} is an apocalyptic number.

It is an amenable number.

10222033322313 is a deficient number, since it is larger than the sum of its proper divisors (4564188924795).

10222033322313 is a wasteful number, since it uses less digits than its factorization.

10222033322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620231064 (or 1620231061 counting only the distinct ones).

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

Adding to 10222033322313 its reverse (31322333022201), we get a palindrome (41544366344514).

The spelling of 10222033322313 in words is "ten trillion, two hundred twenty-two billion, thirty-three million, three hundred twenty-two thousand, three hundred thirteen".