100113201313 has 2 divisors, whose sum is σ = 100113201314. Its totient is φ = 100113201312.

The previous prime is 100113201299. The next prime is 100113201329. The reversal of 100113201313 is 313102311001.

It is an a-pointer prime, because the next prime (100113201329) can be obtained adding 100113201313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95526119329 + 4587081984 = 309073^2 + 67728^2 .

It is an emirp because it is prime and its reverse (313102311001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100113201313 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113201913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056600656 + 50056600657.

It is an arithmetic number, because the mean of its divisors is an integer number (50056600657).

Almost surely, 2^100113201313 is an apocalyptic number.

It is an amenable number.

100113201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113201313 is an equidigital number, since it uses as much as digits as its factorization.

100113201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100113201313 its reverse (313102311001), we get a palindrome (413215512314).

The spelling of 100113201313 in words is "one hundred billion, one hundred thirteen million, two hundred one thousand, three hundred thirteen".