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131332823201 is a prime number
BaseRepresentation
bin111101001010000001…
…0111101100010100001
3110112222210212200100002
41322110002331202201
54122432200320301
6140200010105345
712326356402166
oct1722402754241
9415883780302
10131332823201
1150774a55a08
122155311b255
13c500062808
1464dc4d206d
153639d8916b
hex1e940bd8a1

131332823201 has 2 divisors, whose sum is σ = 131332823202. Its totient is φ = 131332823200.

The previous prime is 131332823117. The next prime is 131332823233. The reversal of 131332823201 is 102328233131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118748470801 + 12584352400 = 344599^2 + 112180^2 .

It is an emirp because it is prime and its reverse (102328233131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131332823201 is a prime.

It is not a weakly prime, because it can be changed into another prime (131332823101) 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 as a sum of consecutive naturals, namely, 65666411600 + 65666411601.

It is an arithmetic number, because the mean of its divisors is an integer number (65666411601).

Almost surely, 2131332823201 is an apocalyptic number.

It is an amenable number.

131332823201 is a deficient number, since it is larger than the sum of its proper divisors (1).

131332823201 is an equidigital number, since it uses as much as digits as its factorization.

131332823201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 131332823201 in words is "one hundred thirty-one billion, three hundred thirty-two million, eight hundred twenty-three thousand, two hundred one".