131313032201133 has 40 divisors (see below), whose sum is σ = 199583432343680. Its totient is φ = 86024254417920.

The previous prime is 131313032201119. The next prime is 131313032201149. The reversal of 131313032201133 is 331102230313131.

131313032201133 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 303 + 220 + 1 + 133 = 666.

It is not a de Polignac number, because 131313032201133 - 2⁸ = 131313032200877 is a prime.

It is a super-2 number, since 2×131313032201133² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131313032201097 and 131313032201106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313032201233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47277460 + ... + 49977837.

It is an arithmetic number, because the mean of its divisors is an integer number (4989585808592).

Almost surely, 2^{131313032201133} is an apocalyptic number.

It is an amenable number.

131313032201133 is a deficient number, since it is larger than the sum of its proper divisors (68270400142547).

131313032201133 is an equidigital number, since it uses as much as digits as its factorization.

131313032201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97255599 (or 97255590 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 131313032201133 its reverse (331102230313131), we get a palindrome (462415262514264).

The spelling of 131313032201133 in words is "one hundred thirty-one trillion, three hundred thirteen billion, thirty-two million, two hundred one thousand, one hundred thirty-three".