100310013 has 48 divisors (see below), whose sum is σ = 159793920. Its totient is φ = 60383232.

The previous prime is 100310003. The next prime is 100310027. The reversal of 100310013 is 310013001.

It is not a de Polignac number, because 100310013 - 2⁵ = 100309981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100309977 and 100310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519645 + ... + 519837.

It is an arithmetic number, because the mean of its divisors is an integer number (3329040).

Almost surely, 2^100310013 is an apocalyptic number.

It is an amenable number.

100310013 is a deficient number, since it is larger than the sum of its proper divisors (59483907).

100310013 is a wasteful number, since it uses less digits than its factorization.

100310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 335 counting only the distinct ones).

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

The square root of 100310013 is about 10015.4886550782. The cubic root of 100310013 is about 464.6380395128.

Adding to 100310013 its reverse (310013001), we get a palindrome (410323014).

The spelling of 100310013 in words is "one hundred million, three hundred ten thousand, thirteen".