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131322311201 is a prime number
BaseRepresentation
bin111101001001101101…
…0110111001000100001
3110112222002002121120202
41322103122313020201
54122422002424301
6140154552514545
712326201141024
oct1722332671041
9415862077522
10131322311201
115076a026104
122154b6aba55
13c4cab21bb3
1464dad571bb
153638eae66b
hex1e936b7221

131322311201 has 2 divisors, whose sum is σ = 131322311202. Its totient is φ = 131322311200.

The previous prime is 131322311189. The next prime is 131322311257. The reversal of 131322311201 is 102113223131.

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., 131243900176 + 78411025 = 362276^2 + 8855^2 .

It is an emirp because it is prime and its reverse (102113223131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131322311201 - 218 = 131322049057 is a prime.

It is not a weakly prime, because it can be changed into another prime (131322311401) 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, 65661155600 + 65661155601.

It is an arithmetic number, because the mean of its divisors is an integer number (65661155601).

Almost surely, 2131322311201 is an apocalyptic number.

It is an amenable number.

131322311201 is a deficient number, since it is larger than the sum of its proper divisors (1).

131322311201 is an equidigital number, since it uses as much as digits as its factorization.

131322311201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131322311201 its reverse (102113223131), we get a palindrome (233435534332).

The spelling of 131322311201 in words is "one hundred thirty-one billion, three hundred twenty-two million, three hundred eleven thousand, two hundred one".