100300202302313 has 16 divisors (see below), whose sum is σ = 111746674947600. Its totient is φ = 89387105525760.

The previous prime is 100300202302249. The next prime is 100300202302369. The reversal of 100300202302313 is 313203202003001.

It can be written as a sum of positive squares in 8 ways, for example, as 37544209692889 + 62755992609424 = 6127333^2 + 7921868^2 .

It is a cyclic number.

It is not a de Polignac number, because 100300202302313 - 2⁶ = 100300202302249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100300202302373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012808 + ... + 14199513.

It is an arithmetic number, because the mean of its divisors is an integer number (6984167184225).

Almost surely, 2^{100300202302313} is an apocalyptic number.

100300202302313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100300202302313 is a deficient number, since it is larger than the sum of its proper divisors (11446472645287).

100300202302313 is a wasteful number, since it uses less digits than its factorization.

100300202302313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15229852.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100300202302313 its reverse (313203202003001), we get a palindrome (413503404305314).

The spelling of 100300202302313 in words is "one hundred trillion, three hundred billion, two hundred two million, three hundred two thousand, three hundred thirteen".