2322001001313 has 18 divisors (see below), whose sum is σ = 3901593519954. Its totient is φ = 1326857714784.

The previous prime is 2322001001297. The next prime is 2322001001413. The reversal of 2322001001313 is 3131001002232.

2322001001313 is a `hidden beast` number, since 232 + 20 + 0 + 100 + 1 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1648933355664 + 673067645649 = 1284108^2 + 820407^2 .

It is not a de Polignac number, because 2322001001313 - 2⁴ = 2322001001297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2322001001113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2632653756 + ... + 2632654637.

It is an arithmetic number, because the mean of its divisors is an integer number (216755195553).

Almost surely, 2^{2322001001313} is an apocalyptic number.

It is an amenable number.

2322001001313 is a deficient number, since it is larger than the sum of its proper divisors (1579592518641).

2322001001313 is a wasteful number, since it uses less digits than its factorization.

2322001001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265308413 (or 5265308403 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2322001001313 its reverse (3131001002232), we get a palindrome (5453002003545).

The spelling of 2322001001313 in words is "two trillion, three hundred twenty-two billion, one million, one thousand, three hundred thirteen".