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131323443412013 is a prime number
BaseRepresentation
bin11101110111000000011111…
…001100011111110000101101
3122012222101202120021110111222
4131313000133030133300231
5114203100403003141023
61143145053531153125
736442543231123136
oct3567003714376055
9565871676243458
10131323443412013
1138930a61235896
121288b4435a57a5
13583799456c948
14246013509ac8d
15102b0566b9cc8
hex77701f31fc2d

131323443412013 has 2 divisors, whose sum is σ = 131323443412014. Its totient is φ = 131323443412012.

The previous prime is 131323443411991. The next prime is 131323443412027. The reversal of 131323443412013 is 310214344323131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87525810603529 + 43797632808484 = 9355523^2 + 6617978^2 .

It is a cyclic number.

It is not a de Polignac number, because 131323443412013 - 28 = 131323443411757 is a prime.

It is a super-2 number, since 2×1313234434120132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131323443412043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65661721706006 + 65661721706007.

It is an arithmetic number, because the mean of its divisors is an integer number (65661721706007).

Almost surely, 2131323443412013 is an apocalyptic number.

It is an amenable number.

131323443412013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131323443412013 is an equidigital number, since it uses as much as digits as its factorization.

131323443412013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 131323443412013 its reverse (310214344323131), we get a palindrome (441537787735144).

The spelling of 131323443412013 in words is "one hundred thirty-one trillion, three hundred twenty-three billion, four hundred forty-three million, four hundred twelve thousand, thirteen".