100200220012313 has 4 divisors (see below), whose sum is σ = 100800221329920. Its totient is φ = 99600218694708.

The previous prime is 100200220012307. The next prime is 100200220012331. The reversal of 100200220012313 is 313210022002001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100200220012313 - 2¹⁰ = 100200220011289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200220012291 and 100200220012300.

It is not an unprimeable number, because it can be changed into a prime (100200220012363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300000658553 + ... + 300000658886.

It is an arithmetic number, because the mean of its divisors is an integer number (25200055332480).

Almost surely, 2^{100200220012313} is an apocalyptic number.

It is an amenable number.

100200220012313 is a deficient number, since it is larger than the sum of its proper divisors (600001317607).

100200220012313 is an equidigital number, since it uses as much as digits as its factorization.

100200220012313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600001317606.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100200220012313 its reverse (313210022002001), we get a palindrome (413410242014314).

The spelling of 100200220012313 in words is "one hundred trillion, two hundred billion, two hundred twenty million, twelve thousand, three hundred thirteen".