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131320123013 is a prime number
BaseRepresentation
bin111101001001101001…
…0100000111010000101
3110112221220222102221202
41322103102200322011
54122420422414023
6140154433552245
712326143425332
oct1722322407205
9415856872852
10131320123013
1150768871092
122154aa15685
13c4ca536c01
1464da947989
153638bcb128
hex1e934a0e85

131320123013 has 2 divisors, whose sum is σ = 131320123014. Its totient is φ = 131320123012.

The previous prime is 131320122917. The next prime is 131320123049. The reversal of 131320123013 is 310321023131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102004861924 + 29315261089 = 319382^2 + 171217^2 .

It is a cyclic number.

It is not a de Polignac number, because 131320123013 - 28 = 131320122757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131320723013) 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, 65660061506 + 65660061507.

It is an arithmetic number, because the mean of its divisors is an integer number (65660061507).

Almost surely, 2131320123013 is an apocalyptic number.

It is an amenable number.

131320123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320123013 is an equidigital number, since it uses as much as digits as its factorization.

131320123013 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 20.

Adding to 131320123013 its reverse (310321023131), we get a palindrome (441641146144).

The spelling of 131320123013 in words is "one hundred thirty-one billion, three hundred twenty million, one hundred twenty-three thousand, thirteen".