132199782013 has 8 divisors (see below), whose sum is σ = 142776935000. Its totient is φ = 121680906048.

The previous prime is 132199781983. The next prime is 132199782079. The reversal of 132199782013 is 310287991231.

It can be written as a sum of positive squares in 4 ways, for example, as 46501903449 + 85697878564 = 215643^2 + 292742^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132199782013 - 2²⁹ = 131662911101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132199786013) 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 7 ways as a sum of consecutive naturals, for example, 14564538 + ... + 14573611.

It is an arithmetic number, because the mean of its divisors is an integer number (17847116875).

Almost surely, 2^132199782013 is an apocalyptic number.

132199782013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132199782013 is a deficient number, since it is larger than the sum of its proper divisors (10577152987).

132199782013 is a wasteful number, since it uses less digits than its factorization.

132199782013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29138511.

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 132199782013 in words is "one hundred thirty-two billion, one hundred ninety-nine million, seven hundred eighty-two thousand, thirteen".