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131142104133301 is a prime number
BaseRepresentation
bin11101110100010111100110…
…100010000010111010110101
3122012100001200201102122021001
4131310113212202002322311
5114142113012124231201
61142525503445123301
736423463410520312
oct3564274642027265
9565301621378231
10131142104133301
1138871065a087a8
12128602753b9531
135823855319cb1
142455451477d09
151026491613301
hex7745e6882eb5

131142104133301 has 2 divisors, whose sum is σ = 131142104133302. Its totient is φ = 131142104133300.

The previous prime is 131142104133181. The next prime is 131142104133311. The reversal of 131142104133301 is 103331401241131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130266384364900 + 875719768401 = 11413430^2 + 935799^2 .

It is a cyclic number.

It is not a de Polignac number, because 131142104133301 - 217 = 131142104002229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131142104133301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131142104133311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65571052066650 + 65571052066651.

It is an arithmetic number, because the mean of its divisors is an integer number (65571052066651).

Almost surely, 2131142104133301 is an apocalyptic number.

It is an amenable number.

131142104133301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131142104133301 is an equidigital number, since it uses as much as digits as its factorization.

131142104133301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131142104133301 its reverse (103331401241131), we get a palindrome (234473505374432).

The spelling of 131142104133301 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred four million, one hundred thirty-three thousand, three hundred one".