100022200011313 has 8 divisors (see below), whose sum is σ = 100606448906600. Its totient is φ = 99439651987200.

The previous prime is 100022200011299. The next prime is 100022200011317. The reversal of 100022200011313 is 313110002220001.

It can be written as a sum of positive squares in 4 ways, for example, as 12899073374784 + 87123126636529 = 3591528^2 + 9333977^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100022200011313 - 2⁹ = 100022200010801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022200011317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425099838 + ... + 425335063.

It is an arithmetic number, because the mean of its divisors is an integer number (12575806113325).

Almost surely, 2^{100022200011313} is an apocalyptic number.

It is an amenable number.

100022200011313 is a deficient number, since it is larger than the sum of its proper divisors (584248895287).

100022200011313 is an equidigital number, since it uses as much as digits as its factorization.

100022200011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850435587.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100022200011313 its reverse (313110002220001), we get a palindrome (413132202231314).

The spelling of 100022200011313 in words is "one hundred trillion, twenty-two billion, two hundred million, eleven thousand, three hundred thirteen".