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132313002013 is a prime number
BaseRepresentation
bin111101100111001111…
…0000011000000011101
3110122112010020220220001
41323032132003000131
54131434112031023
6140441142454301
712362560650313
oct1731636030035
9418463226801
10132313002013
1151128270845
1221787434391
13c62814ca8a
1465927600b3
153695e526ad
hex1ece78301d

132313002013 has 2 divisors, whose sum is σ = 132313002014. Its totient is φ = 132313002012.

The previous prime is 132313002007. The next prime is 132313002089. The reversal of 132313002013 is 310200313231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129399917284 + 2913084729 = 359722^2 + 53973^2 .

It is a cyclic number.

It is not a de Polignac number, because 132313002013 - 29 = 132313001501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132313002713) 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 as a sum of consecutive naturals, namely, 66156501006 + 66156501007.

It is an arithmetic number, because the mean of its divisors is an integer number (66156501007).

Almost surely, 2132313002013 is an apocalyptic number.

It is an amenable number.

132313002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

132313002013 is an equidigital number, since it uses as much as digits as its factorization.

132313002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 132313002013 its reverse (310200313231), we get a palindrome (442513315244).

The spelling of 132313002013 in words is "one hundred thirty-two billion, three hundred thirteen million, two thousand, thirteen".