100301013 has 6 divisors (see below), whose sum is σ = 144879254. Its totient is φ = 66867336.

The previous prime is 100300939. The next prime is 100301017. The reversal of 100301013 is 310103001.

It can be written as a sum of positive squares in only one way, i.e., 62441604 + 37859409 = 7902^2 + 6153^2 .

It is not a de Polignac number, because 100301013 - 2⁸ = 100300757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11144557 = 100301013 / (1 + 0 + 0 + 3 + 0 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100300986 and 100301004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100301017) 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 in 5 ways as a sum of consecutive naturals, for example, 5572270 + ... + 5572287.

Almost surely, 2^100301013 is an apocalyptic number.

It is an amenable number.

100301013 is a deficient number, since it is larger than the sum of its proper divisors (44578241).

100301013 is a wasteful number, since it uses less digits than its factorization.

100301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144563 (or 11144560 counting only the distinct ones).

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

The square root of 100301013 is about 10015.0393409112. The cubic root of 100301013 is about 464.6241430356.

Adding to 100301013 its reverse (310103001), we get a palindrome (410404014).

The spelling of 100301013 in words is "one hundred million, three hundred one thousand, thirteen".