132010100017 has 48 divisors (see below), whose sum is σ = 148126375152. Its totient is φ = 117466398720.

The previous prime is 132010100009. The next prime is 132010100021. The reversal of 132010100017 is 710001010231.

It can be written as a sum of positive squares in 24 ways, for example, as 76200289936 + 55809810081 = 276044^2 + 236241^2 .

It is not a de Polignac number, because 132010100017 - 2³ = 132010100009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132010100077) 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 47 ways as a sum of consecutive naturals, for example, 154759363 + ... + 154760215.

It is an arithmetic number, because the mean of its divisors is an integer number (3085966149).

Almost surely, 2^132010100017 is an apocalyptic number.

132010100017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132010100017 is a deficient number, since it is larger than the sum of its proper divisors (16116275135).

132010100017 is a wasteful number, since it uses less digits than its factorization.

132010100017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 132010100017 its reverse (710001010231), we get a palindrome (842011110248).

The spelling of 132010100017 in words is "one hundred thirty-two billion, ten million, one hundred thousand, seventeen".