100113301 has 2 divisors, whose sum is σ = 100113302. Its totient is φ = 100113300.

The previous prime is 100113287. The next prime is 100113311. The reversal of 100113301 is 103311001.

It is an a-pointer prime, because the next prime (100113311) can be obtained adding 100113301 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80532676 + 19580625 = 8974^2 + 4425^2 .

It is an emirp because it is prime and its reverse (103311001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100113301 - 2⁷ = 100113173 is a prime.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056650 + 50056651.

It is an arithmetic number, because the mean of its divisors is an integer number (50056651).

Almost surely, 2^100113301 is an apocalyptic number.

It is an amenable number.

100113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113301 is an equidigital number, since it uses as much as digits as its factorization.

100113301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100113301 is about 10005.6634462688. The cubic root of 100113301 is about 464.3341160833.

Adding to 100113301 its reverse (103311001), we get a palindrome (203424302).

The spelling of 100113301 in words is "one hundred million, one hundred thirteen thousand, three hundred one".