13132111001 has 16 divisors (see below), whose sum is σ = 13444477200. Its totient is φ = 12824064000.

The previous prime is 13132110931. The next prime is 13132111021. The reversal of 13132111001 is 10011123131.

It is a happy number.

13132111001 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 8 ways, for example, as 588111001 + 12544000000 = 24251^2 + 112000^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132111001 - 2¹⁸ = 13131848857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132111021) 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 15 ways as a sum of consecutive naturals, for example, 4142345 + ... + 4145513.

It is an arithmetic number, because the mean of its divisors is an integer number (840279825).

Almost surely, 2^13132111001 is an apocalyptic number.

It is an amenable number.

13132111001 is a deficient number, since it is larger than the sum of its proper divisors (312366199).

13132111001 is a wasteful number, since it uses less digits than its factorization.

13132111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13132111001 its reverse (10011123131), we get a palindrome (23143234132).

The spelling of 13132111001 in words is "thirteen billion, one hundred thirty-two million, one hundred eleven thousand, one".