100301513 has 16 divisors (see below), whose sum is σ = 120395520. Its totient is φ = 82550016.

The previous prime is 100301497. The next prime is 100301519. The reversal of 100301513 is 315103001.

It is a cyclic number.

It is not a de Polignac number, because 100301513 - 2⁴ = 100301497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100301519) 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 15 ways as a sum of consecutive naturals, for example, 7745 + ... + 16142.

It is an arithmetic number, because the mean of its divisors is an integer number (7524720).

Almost surely, 2^100301513 is an apocalyptic number.

100301513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100301513 is a deficient number, since it is larger than the sum of its proper divisors (20094007).

100301513 is a wasteful number, since it uses less digits than its factorization.

100301513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23936.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 100301513 is about 10015.0643033382. The cubic root of 100301513 is about 464.6249150839.

Adding to 100301513 its reverse (315103001), we get a palindrome (415404514).

The spelling of 100301513 in words is "one hundred million, three hundred one thousand, five hundred thirteen".