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131447993695201 is a prime number
BaseRepresentation
bin11101111000110100011110…
…111110000111101111100001
3122020102022020200121102002101
4131320310132332013233201
5114212120442341221301
61143322212532050401
736454542552063241
oct3570643676075741
9566368220542071
10131447993695201
1138979865665027
12128ab603163a01
135846653387a71
14246618c87bb21
15102e3e5d92701
hex778d1ef87be1

131447993695201 has 2 divisors, whose sum is σ = 131447993695202. Its totient is φ = 131447993695200.

The previous prime is 131447993695177. The next prime is 131447993695223. The reversal of 131447993695201 is 102596399744131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116276345488801 + 15171648206400 = 10783151^2 + 3895080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131447993695201 is a prime.

It is not a weakly prime, because it can be changed into another prime (131447993692201) 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, 65723996847600 + 65723996847601.

It is an arithmetic number, because the mean of its divisors is an integer number (65723996847601).

Almost surely, 2131447993695201 is an apocalyptic number.

It is an amenable number.

131447993695201 is a deficient number, since it is larger than the sum of its proper divisors (1).

131447993695201 is an equidigital number, since it uses as much as digits as its factorization.

131447993695201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44089920, while the sum is 64.

The spelling of 131447993695201 in words is "one hundred thirty-one trillion, four hundred forty-seven billion, nine hundred ninety-three million, six hundred ninety-five thousand, two hundred one".