100013002313 has 8 divisors (see below), whose sum is σ = 120316393920. Its totient is φ = 81213565680.

The previous prime is 100013002301. The next prime is 100013002333. The reversal of 100013002313 is 313200310001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100013002313 - 2¹⁴ = 100012985929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013002333) 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 in 7 ways as a sum of consecutive naturals, for example, 375988598 + ... + 375988863.

It is an arithmetic number, because the mean of its divisors is an integer number (15039549240).

Almost surely, 2^100013002313 is an apocalyptic number.

It is an amenable number.

100013002313 is a deficient number, since it is larger than the sum of its proper divisors (20303391607).

100013002313 is an equidigital number, since it uses as much as digits as its factorization.

100013002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751977487.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100013002313 its reverse (313200310001), we get a palindrome (413213312314).

The spelling of 100013002313 in words is "one hundred billion, thirteen million, two thousand, three hundred thirteen".