100103112013 has 4 divisors (see below), whose sum is σ = 100386690588. Its totient is φ = 99819533440.

The previous prime is 100103111993. The next prime is 100103112019. The reversal of 100103112013 is 310211301001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12687093769 + 87416018244 = 112637^2 + 295662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100103112013 is a prime.

It is a super-3 number, since 3×100103112013³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100103111984 and 100103112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103112019) 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, 141788758 + ... + 141789463.

It is an arithmetic number, because the mean of its divisors is an integer number (25096672647).

Almost surely, 2^100103112013 is an apocalyptic number.

It is an amenable number.

100103112013 is a deficient number, since it is larger than the sum of its proper divisors (283578575).

100103112013 is an equidigital number, since it uses as much as digits as its factorization.

100103112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283578574.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100103112013 its reverse (310211301001), we get a palindrome (410314413014).

The spelling of 100103112013 in words is "one hundred billion, one hundred three million, one hundred twelve thousand, thirteen".