13001133101 has 12 divisors (see below), whose sum is σ = 14314359612. Its totient is φ = 11799480000.

The previous prime is 13001133077. The next prime is 13001133127. The reversal of 13001133101 is 10133110031.

It is a happy number.

13001133101 is digitally balanced in base 2, 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 2 ways, for example, as 5817723076 + 7183410025 = 76274^2 + 84755^2 .

It is not a de Polignac number, because 13001133101 - 2⁶ = 13001133037 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 (13001133181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16670 + ... + 162111.

It is an arithmetic number, because the mean of its divisors is an integer number (1192863301).

Almost surely, 2^13001133101 is an apocalyptic number.

13001133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13001133101 is a deficient number, since it is larger than the sum of its proper divisors (1313226511).

13001133101 is a wasteful number, since it uses less digits than its factorization.

13001133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179404 (or 179393 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13001133101 its reverse (10133110031), we get a palindrome (23134243132).

The spelling of 13001133101 in words is "thirteen billion, one million, one hundred thirty-three thousand, one hundred one".