132100013 has 8 divisors (see below), whose sum is σ = 140273208. Its totient is φ = 123971584.

The previous prime is 132099967. The next prime is 132100019. The reversal of 132100013 is 310001231.

It can be written as a sum of positive squares in 4 ways, for example, as 41126569 + 90973444 = 6413^2 + 9538^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 132100013 - 2⁶ = 132099949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132099967 and 132100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5006 + ... + 17007.

It is an arithmetic number, because the mean of its divisors is an integer number (17534151).

Almost surely, 2^132100013 is an apocalyptic number.

It is an amenable number.

132100013 is a deficient number, since it is larger than the sum of its proper divisors (8173195).

132100013 is a wasteful number, since it uses less digits than its factorization.

132100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22383.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 132100013 is about 11493.4769760939. The cubic root of 132100013 is about 509.2928980700.

Adding to 132100013 its reverse (310001231), we get a palindrome (442101244).

The spelling of 132100013 in words is "one hundred thirty-two million, one hundred thousand, thirteen".