13132113101 has 4 divisors (see below), whose sum is σ = 13143503772. Its totient is φ = 13120722432.

The previous prime is 13132113083. The next prime is 13132113119. The reversal of 13132113101 is 10131123131.

13132113101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10131123131 = 67 ⋅151210793.

It is an interprime number because it is at equal distance from previous prime (13132113083) and next prime (13132113119).

It can be written as a sum of positive squares in 2 ways, for example, as 4828165225 + 8303947876 = 69485^2 + 91126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13132113101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13132113101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132113121) 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 3 ways as a sum of consecutive naturals, for example, 5693606 + ... + 5695911.

It is an arithmetic number, because the mean of its divisors is an integer number (3285875943).

Almost surely, 2^13132113101 is an apocalyptic number.

It is an amenable number.

13132113101 is a deficient number, since it is larger than the sum of its proper divisors (11390671).

13132113101 is a wasteful number, since it uses less digits than its factorization.

13132113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390670.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13132113101 its reverse (10131123131), we get a palindrome (23263236232).

The spelling of 13132113101 in words is "thirteen billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred one".