131311323232101 has 12 divisors (see below), whose sum is σ = 189686992353612. Its totient is φ = 87533921684736.

The previous prime is 131311323232079. The next prime is 131311323232121. The reversal of 131311323232101 is 101232323113131.

131311323232101 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 1 + 323 + 232 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125731929650625 + 5579393581476 = 11213025^2 + 2362074^2 .

It is not a de Polignac number, because 131311323232101 - 2⁵ = 131311323232069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311323232121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579919686 + ... + 580146071.

It is an arithmetic number, because the mean of its divisors is an integer number (15807249362801).

Almost surely, 2^{131311323232101} is an apocalyptic number.

It is an amenable number.

131311323232101 is a deficient number, since it is larger than the sum of its proper divisors (58375669121511).

131311323232101 is a wasteful number, since it uses less digits than its factorization.

131311323232101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160078340 (or 1160078337 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131311323232101 its reverse (101232323113131), we get a palindrome (232543646345232).

The spelling of 131311323232101 in words is "one hundred thirty-one trillion, three hundred eleven billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred one".