132032545040513 has 16 divisors (see below), whose sum is σ = 142452419242896. Its totient is φ = 121650405361920.

The previous prime is 132032545040507. The next prime is 132032545040569. The reversal of 132032545040513 is 315040545230231.

It can be written as a sum of positive squares in 8 ways, for example, as 42286706969329 + 89745838071184 = 6502823^2 + 9473428^2 .

It is a cyclic number.

It is not a de Polignac number, because 132032545040513 - 2⁴ = 132032545040497 is a prime.

It is a super-2 number, since 2×132032545040513² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132032545040413) 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 15 ways as a sum of consecutive naturals, for example, 34161983 + ... + 37829963.

It is an arithmetic number, because the mean of its divisors is an integer number (8903276202681).

Almost surely, 2^{132032545040513} is an apocalyptic number.

132032545040513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132032545040513 is a deficient number, since it is larger than the sum of its proper divisors (10419874202383).

132032545040513 is a wasteful number, since it uses less digits than its factorization.

132032545040513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673124.

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 132032545040513 in words is "one hundred thirty-two trillion, thirty-two billion, five hundred forty-five million, forty thousand, five hundred thirteen".