13005101 has 8 divisors (see below), whose sum is σ = 13819680. Its totient is φ = 12203568.

The previous prime is 13005073. The next prime is 13005103. The reversal of 13005101 is 10150031.

13005101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13005101 - 2⁶ = 13005037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1166 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (1727460).

Almost surely, 2^13005101 is an apocalyptic number.

It is an amenable number.

13005101 is a deficient number, since it is larger than the sum of its proper divisors (814579).

13005101 is a wasteful number, since it uses less digits than its factorization.

13005101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 13005101 is about 3606.2585875114. The cubic root of 13005101 is about 235.1642190024.

Adding to 13005101 its reverse (10150031), we get a palindrome (23155132).

The spelling of 13005101 in words is "thirteen million, five thousand, one hundred one".