100010310013 has 4 divisors (see below), whose sum is σ = 105274010560. Its totient is φ = 94746609468.

The previous prime is 100010309999. The next prime is 100010310047. The reversal of 100010310013 is 310013010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310013010001 = 22639 ⋅13693759.

It is a cyclic number.

It is not a de Polignac number, because 100010310013 - 2⁹ = 100010309501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010310713) 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 3 ways as a sum of consecutive naturals, for example, 2631850245 + ... + 2631850282.

It is an arithmetic number, because the mean of its divisors is an integer number (26318502640).

Almost surely, 2^100010310013 is an apocalyptic number.

It is an amenable number.

100010310013 is a deficient number, since it is larger than the sum of its proper divisors (5263700547).

100010310013 is an equidigital number, since it uses as much as digits as its factorization.

100010310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263700546.

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

Adding to 100010310013 its reverse (310013010001), we get a palindrome (410023320014).

The spelling of 100010310013 in words is "one hundred billion, ten million, three hundred ten thousand, thirteen".