132114313434113 has 8 divisors (see below), whose sum is σ = 132555896976360. Its totient is φ = 131673308261760.

The previous prime is 132114313434079. The next prime is 132114313434163. The reversal of 132114313434113 is 311434313411231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29490362833009 + 102623950601104 = 5430503^2 + 10130348^2 .

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 132114313434113 - 2¹² = 132114313430017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132114313434163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144134858 + ... + 145048563.

It is an arithmetic number, because the mean of its divisors is an integer number (16569487122045).

Almost surely, 2^{132114313434113} is an apocalyptic number.

It is an amenable number.

132114313434113 is a deficient number, since it is larger than the sum of its proper divisors (441583542247).

132114313434113 is a wasteful number, since it uses less digits than its factorization.

132114313434113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289184947.

The product of its digits is 31104, while the sum is 35.

Adding to 132114313434113 its reverse (311434313411231), we get a palindrome (443548626845344).

The spelling of 132114313434113 in words is "one hundred thirty-two trillion, one hundred fourteen billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred thirteen".