13130311101 has 32 divisors (see below), whose sum is σ = 18098129280. Its totient is φ = 8461345536.

The previous prime is 13130311081. The next prime is 13130311157. The reversal of 13130311101 is 10111303131.

13130311101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13130311101 - 2⁵ = 13130311069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130315101) 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 31 ways as a sum of consecutive naturals, for example, 17344815 + ... + 17345571.

It is an arithmetic number, because the mean of its divisors is an integer number (565566540).

Almost surely, 2^13130311101 is an apocalyptic number.

It is an amenable number.

13130311101 is a deficient number, since it is larger than the sum of its proper divisors (4967818179).

13130311101 is a wasteful number, since it uses less digits than its factorization.

13130311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13130311101 its reverse (10111303131), we get a palindrome (23241614232).

The spelling of 13130311101 in words is "thirteen billion, one hundred thirty million, three hundred eleven thousand, one hundred one".