100113313 has 2 divisors, whose sum is σ = 100113314. Its totient is φ = 100113312.

The previous prime is 100113311. The next prime is 100113329. The reversal of 100113313 is 313311001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63728289 + 36385024 = 7983^2 + 6032^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113313 - 2¹ = 100113311 is a prime.

Together with 100113311, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100113293 and 100113302.

It is not a weakly prime, because it can be changed into another prime (100113311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056656 + 50056657.

It is an arithmetic number, because the mean of its divisors is an integer number (50056657).

Almost surely, 2^100113313 is an apocalyptic number.

It is an amenable number.

100113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113313 is an equidigital number, since it uses as much as digits as its factorization.

100113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 100113313 is about 10005.6640459292. The cubic root of 100113313 is about 464.3341346356.

Adding to 100113313 its reverse (313311001), we get a palindrome (413424314).

The spelling of 100113313 in words is "one hundred million, one hundred thirteen thousand, three hundred thirteen".