10002201213113 has 4 divisors (see below), whose sum is σ = 10006704682788. Its totient is φ = 9997697743440.

The previous prime is 10002201213101. The next prime is 10002201213197. The reversal of 10002201213113 is 31131210220001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8911580241529 + 1090620971584 = 2985227^2 + 1044328^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002201213113 - 2¹⁰ = 10002201212089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002201213091 and 10002201213100.

It is not an unprimeable number, because it can be changed into a prime (10002201213413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2251731506 + ... + 2251735947.

It is an arithmetic number, because the mean of its divisors is an integer number (2501676170697).

Almost surely, 2^{10002201213113} is an apocalyptic number.

It is an amenable number.

10002201213113 is a deficient number, since it is larger than the sum of its proper divisors (4503469675).

10002201213113 is an equidigital number, since it uses as much as digits as its factorization.

10002201213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503469674.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10002201213113 its reverse (31131210220001), we get a palindrome (41133411433114).

The spelling of 10002201213113 in words is "ten trillion, two billion, two hundred one million, two hundred thirteen thousand, one hundred thirteen".