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131401327601 is a prime number
BaseRepresentation
bin111101001100000100…
…0010010001111110001
3110120011120210001201002
41322120020102033301
54123102214440401
6140210454251345
712331150566365
oct1723010221761
9416146701632
10131401327601
11507aa695315
1221572056b55
13c5112c966b
1465076452a5
153640dbba6b
hex1e982123f1

131401327601 has 2 divisors, whose sum is σ = 131401327602. Its totient is φ = 131401327600.

The previous prime is 131401327597. The next prime is 131401327633. The reversal of 131401327601 is 106723104131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114786117601 + 16615210000 = 338801^2 + 128900^2 .

It is a cyclic number.

It is not a de Polignac number, because 131401327601 - 22 = 131401327597 is a prime.

It is not a weakly prime, because it can be changed into another prime (131401327691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65700663800 + 65700663801.

It is an arithmetic number, because the mean of its divisors is an integer number (65700663801).

Almost surely, 2131401327601 is an apocalyptic number.

It is an amenable number.

131401327601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131401327601 is an equidigital number, since it uses as much as digits as its factorization.

131401327601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 131401327601 in words is "one hundred thirty-one billion, four hundred one million, three hundred twenty-seven thousand, six hundred one".