132122513205441 has 24 divisors (see below), whose sum is σ = 208207374976224. Its totient is φ = 80068741248960.

The previous prime is 132122513205391. The next prime is 132122513205451. The reversal of 132122513205441 is 144502315221231.

132122513205441 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 2 + 5 + 1 + 3 + 205 + 441 = 666.

It is not a de Polignac number, because 132122513205441 - 2⁶ = 132122513205377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132122513205396 and 132122513205405.

It is not an unprimeable number, because it can be changed into a prime (132122513205451) 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, 44463391 + ... + 47341716.

It is an arithmetic number, because the mean of its divisors is an integer number (8675307290676).

Almost surely, 2^{132122513205441} is an apocalyptic number.

132122513205441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132122513205441 is a deficient number, since it is larger than the sum of its proper divisors (76084861770783).

132122513205441 is a wasteful number, since it uses less digits than its factorization.

132122513205441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91819661 (or 91819658 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 132122513205441 its reverse (144502315221231), we get a palindrome (276624828426672).

The spelling of 132122513205441 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, five hundred thirteen million, two hundred five thousand, four hundred forty-one".