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131103113000173 is a prime number
BaseRepresentation
bin11101110011110011010010…
…011110101011010011101101
3122012012100001100201211221021
4131303303102132223103231
5114140443133412001143
61142455534425534141
736420613233410326
oct3563632236532355
9565170040654837
10131103113000173
113885657748a336
12128547b3344351
13581cc8028a7a2
1424535d2c8544d
15102545d4aeced
hex773cd27ab4ed

131103113000173 has 2 divisors, whose sum is σ = 131103113000174. Its totient is φ = 131103113000172.

The previous prime is 131103113000161. The next prime is 131103113000257. The reversal of 131103113000173 is 371000311301131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92653465194889 + 38449647805284 = 9625667^2 + 6200778^2 .

It is a cyclic number.

It is not a de Polignac number, because 131103113000173 - 241 = 128904089744621 is a prime.

It is a super-2 number, since 2×1311031130001732 (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 (131103113100173) 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, 65551556500086 + 65551556500087.

It is an arithmetic number, because the mean of its divisors is an integer number (65551556500087).

Almost surely, 2131103113000173 is an apocalyptic number.

It is an amenable number.

131103113000173 is a deficient number, since it is larger than the sum of its proper divisors (1).

131103113000173 is an equidigital number, since it uses as much as digits as its factorization.

131103113000173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 25.

The spelling of 131103113000173 in words is "one hundred thirty-one trillion, one hundred three billion, one hundred thirteen million, one hundred seventy-three", and thus it is an aban number.