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131320132331081 is a prime number
BaseRepresentation
bin11101110110111101011001…
…110101101110011001001001
3122012222002012210220010100212
4131312331121311232121021
5114203022112334043311
61143143345211210505
736442365204320021
oct3566753165563111
9565862183803325
10131320132331081
113892a612212771
121288a87a746a35
1358375875aaa65
14245dcdd438a81
15102ae10b78c8b
hex776f59d6e649

131320132331081 has 2 divisors, whose sum is σ = 131320132331082. Its totient is φ = 131320132331080.

The previous prime is 131320132331071. The next prime is 131320132331107. The reversal of 131320132331081 is 180133231023131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126333463713856 + 4986668617225 = 11239816^2 + 2233085^2 .

It is a cyclic number.

It is not a de Polignac number, because 131320132331081 - 246 = 60951388153417 is a prime.

It is a super-2 number, since 2×1313201323310812 (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131320132331041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660066165540 + 65660066165541.

It is an arithmetic number, because the mean of its divisors is an integer number (65660066165541).

Almost surely, 2131320132331081 is an apocalyptic number.

It is an amenable number.

131320132331081 is a deficient number, since it is larger than the sum of its proper divisors (1).

131320132331081 is an equidigital number, since it uses as much as digits as its factorization.

131320132331081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 131320132331081 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred thirty-two million, three hundred thirty-one thousand, eighty-one".