10002221302313 has 16 divisors (see below), whose sum is σ = 10213819573776. Its totient is φ = 9793403781120.

The previous prime is 10002221302301. The next prime is 10002221302319. The reversal of 10002221302313 is 31320312220001.

It can be written as a sum of positive squares in 8 ways, for example, as 139123032064 + 9863098270249 = 372992^2 + 3140557^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002221302313 - 2¹⁴ = 10002221285929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002221302319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912595 + ... + 4864407.

It is an arithmetic number, because the mean of its divisors is an integer number (638363723361).

Almost surely, 2^{10002221302313} is an apocalyptic number.

It is an amenable number.

10002221302313 is a deficient number, since it is larger than the sum of its proper divisors (211598271463).

10002221302313 is a wasteful number, since it uses less digits than its factorization.

10002221302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952284.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10002221302313 its reverse (31320312220001), we get a palindrome (41322533522314).

The spelling of 10002221302313 in words is "ten trillion, two billion, two hundred twenty-one million, three hundred two thousand, three hundred thirteen".