13003101 has 6 divisors (see below), whose sum is σ = 18782270. Its totient is φ = 8668728.

The previous prime is 13003099. The next prime is 13003127. The reversal of 13003101 is 10130031.

13003101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11737476 + 1265625 = 3426^2 + 1125^2 .

It is not a de Polignac number, because 13003101 - 2¹ = 13003099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1444789 = 13003101 / (1 + 3 + 0 + 0 + 3 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003171) 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, 722386 + ... + 722403.

Almost surely, 2^13003101 is an apocalyptic number.

It is an amenable number.

13003101 is a deficient number, since it is larger than the sum of its proper divisors (5779169).

13003101 is a wasteful number, since it uses less digits than its factorization.

13003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444795 (or 1444792 counting only the distinct ones).

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

The square root of 13003101 is about 3605.9812811494. The cubic root of 13003101 is about 235.1521634110.

Adding to 13003101 its reverse (10130031), we get a palindrome (23133132).

The spelling of 13003101 in words is "thirteen million, three thousand, one hundred one".