103008013 has 6 divisors (see below), whose sum is σ = 103670574. Its totient is φ = 102349656.

The previous prime is 103007999. The next prime is 103008043. The reversal of 103008013 is 310800301.

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 25532809 = 8802^2 + 5053^2 .

It is not a de Polignac number, because 103008013 - 2²⁵ = 69453581 is a prime.

It is a super-2 number, since 2×103008013² = 21221301484416338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103008043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24631 + ... + 28507.

It is an arithmetic number, because the mean of its divisors is an integer number (17278429).

Almost surely, 2^103008013 is an apocalyptic number.

It is an amenable number.

103008013 is a deficient number, since it is larger than the sum of its proper divisors (662561).

103008013 is an frugal number, since it uses more digits than its factorization.

103008013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 103008013 is about 10149.2863295899. The cubic root of 103008013 is about 468.7669702182.

Adding to 103008013 its reverse (310800301), we get a palindrome (413808314).

The spelling of 103008013 in words is "one hundred three million, eight thousand, thirteen".