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132313313141 is a prime number
BaseRepresentation
bin111101100111001111…
…1001110111101110101
3110122112010211201200022
41323032133032331311
54131434202010031
6140441153254525
712362563414352
oct1731637167565
9418463751608
10132313313141
1151128463579
1221787564445
13c62822b589
146592801629
153695eb497b
hex1ece7cef75

132313313141 has 2 divisors, whose sum is σ = 132313313142. Its totient is φ = 132313313140.

The previous prime is 132313313117. The next prime is 132313313239. The reversal of 132313313141 is 141313313231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120446478916 + 11866834225 = 347054^2 + 108935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132313313141 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132313313141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132313313441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66156656570 + 66156656571.

It is an arithmetic number, because the mean of its divisors is an integer number (66156656571).

Almost surely, 2132313313141 is an apocalyptic number.

It is an amenable number.

132313313141 is a deficient number, since it is larger than the sum of its proper divisors (1).

132313313141 is an equidigital number, since it uses as much as digits as its factorization.

132313313141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

Adding to 132313313141 its reverse (141313313231), we get a palindrome (273626626372).

The spelling of 132313313141 in words is "one hundred thirty-two billion, three hundred thirteen million, three hundred thirteen thousand, one hundred forty-one".