13031132101 has 8 divisors (see below), whose sum is σ = 14298311160. Its totient is φ = 11801779392.

The previous prime is 13031132087. The next prime is 13031132117. The reversal of 13031132101 is 10123113031.

13031132101 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 4 ways, for example, as 3558003201 + 9473128900 = 59649^2 + 97330^2 .

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

It is not a de Polignac number, because 13031132101 - 2²⁹ = 12494261189 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 (13031132141) 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 7 ways as a sum of consecutive naturals, for example, 9455866 + ... + 9457243.

It is an arithmetic number, because the mean of its divisors is an integer number (1787288895).

Almost surely, 2^13031132101 is an apocalyptic number.

It is an amenable number.

13031132101 is a deficient number, since it is larger than the sum of its proper divisors (1267179059).

13031132101 is a wasteful number, since it uses less digits than its factorization.

13031132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18913175.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13031132101 its reverse (10123113031), we get a palindrome (23154245132).

The spelling of 13031132101 in words is "thirteen billion, thirty-one million, one hundred thirty-two thousand, one hundred one".