131233011345441 has 64 divisors (see below), whose sum is σ = 209921319014400. Its totient is φ = 80728993900800.

The previous prime is 131233011345433. The next prime is 131233011345463. The reversal of 131233011345441 is 144543110332131.

131233011345441 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 301 + 1 + 345 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 131233011345441 - 2³ = 131233011345433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131233011345396 and 131233011345405.

It is not an unprimeable number, because it can be changed into a prime (131233011345341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5414925 + ... + 17081786.

It is an arithmetic number, because the mean of its divisors is an integer number (3280020609600).

Almost surely, 2^{131233011345441} is an apocalyptic number.

It is an amenable number.

131233011345441 is a deficient number, since it is larger than the sum of its proper divisors (78688307668959).

131233011345441 is a wasteful number, since it uses less digits than its factorization.

131233011345441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22496987 (or 22496981 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 131233011345441 its reverse (144543110332131), we get a palindrome (275776121677572).

The spelling of 131233011345441 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, eleven million, three hundred forty-five thousand, four hundred forty-one".