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131201141200901 is a prime number
BaseRepresentation
bin11101110101001110100101…
…011010100101100000000101
3122012112201002010002102002022
4131311032211122211200011
5114144044414121412101
61143012545554252525
736430653405360032
oct3565164532454005
9565481063072068
10131201141200901
113889410088a462
121286b7b0887145
1358292a3417ba5
1424582520ac389
151027c99557a1b
hex7753a56a5805

131201141200901 has 2 divisors, whose sum is σ = 131201141200902. Its totient is φ = 131201141200900.

The previous prime is 131201141200897. The next prime is 131201141200951. The reversal of 131201141200901 is 109002141102131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120107878471876 + 11093262729025 = 10959374^2 + 3330655^2 .

It is a cyclic number.

It is not a de Polignac number, because 131201141200901 - 22 = 131201141200897 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131201141200951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600570600450 + 65600570600451.

It is an arithmetic number, because the mean of its divisors is an integer number (65600570600451).

Almost surely, 2131201141200901 is an apocalyptic number.

It is an amenable number.

131201141200901 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201141200901 is an equidigital number, since it uses as much as digits as its factorization.

131201141200901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 131201141200901 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-one million, two hundred thousand, nine hundred one".