131311221113133 has 24 divisors (see below), whose sum is σ = 191357076314040. Its totient is φ = 86763032616960.

The previous prime is 131311221113117. The next prime is 131311221113197. The reversal of 131311221113133 is 331311122113131.

131311221113133 is a `hidden beast` number, since 1 + 3 + 1 + 311 + 2 + 21 + 11 + 313 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4989513973284 + 126321707139849 = 2233722^2 + 11239293^2 .

It is not a de Polignac number, because 131311221113133 - 2⁴ = 131311221113117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131311221113097 and 131311221113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311221513133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26509773 + ... + 31070733.

It is an arithmetic number, because the mean of its divisors is an integer number (7973211513085).

Almost surely, 2^{131311221113133} is an apocalyptic number.

It is an amenable number.

131311221113133 is a deficient number, since it is larger than the sum of its proper divisors (60045855200907).

131311221113133 is a wasteful number, since it uses less digits than its factorization.

131311221113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589389 (or 4589386 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 131311221113133 its reverse (331311122113131), we get a palindrome (462622343226264).

The spelling of 131311221113133 in words is "one hundred thirty-one trillion, three hundred eleven billion, two hundred twenty-one million, one hundred thirteen thousand, one hundred thirty-three".