100103013 has 16 divisors (see below), whose sum is σ = 150734400. Its totient is φ = 65640240.

The previous prime is 100102993. The next prime is 100103053. The reversal of 100103013 is 310301001.

It is not a de Polignac number, because 100103013 - 2¹³ = 100094821 is a prime.

It is a super-2 number, since 2×100103013² = 20041226423356338, which contains 22 as substring.

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 = 100102986 and 100103004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28743 + ... + 32036.

It is an arithmetic number, because the mean of its divisors is an integer number (9420900).

Almost surely, 2^100103013 is an apocalyptic number.

It is an amenable number.

100103013 is a deficient number, since it is larger than the sum of its proper divisors (50631387).

100103013 is an equidigital number, since it uses as much as digits as its factorization.

100103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60849 (or 60843 counting only the distinct ones).

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

The square root of 100103013 is about 10005.1493242230. The cubic root of 100103013 is about 464.3182099949.

Adding to 100103013 its reverse (310301001), we get a palindrome (410404014).

The spelling of 100103013 in words is "one hundred million, one hundred three thousand, thirteen".