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131301310222001 is a prime number
BaseRepresentation
bin11101110110101011110111…
…111101000100111010110001
3122012220021122001202220200202
4131312223313331010322301
5114202220040404101001
61143130553400124545
736441130604116313
oct3566536775047261
9565807561686622
10131301310222001
1138922633669617
12128870a7166755
135835877c561ca
14245d0357697b3
15102a6ad52c96b
hex776af7f44eb1

131301310222001 has 2 divisors, whose sum is σ = 131301310222002. Its totient is φ = 131301310222000.

The previous prime is 131301310221997. The next prime is 131301310222021. The reversal of 131301310222001 is 100222013103131.

It is a happy number.

It is an a-pointer prime, because the next prime (131301310222021) can be obtained adding 131301310222001 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123172795608976 + 8128514613025 = 11098324^2 + 2851055^2 .

It is a cyclic number.

It is not a de Polignac number, because 131301310222001 - 22 = 131301310221997 is a prime.

It is not a weakly prime, because it can be changed into another prime (131301310222021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65650655111000 + 65650655111001.

It is an arithmetic number, because the mean of its divisors is an integer number (65650655111001).

Almost surely, 2131301310222001 is an apocalyptic number.

It is an amenable number.

131301310222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131301310222001 is an equidigital number, since it uses as much as digits as its factorization.

131301310222001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131301310222001 its reverse (100222013103131), we get a palindrome (231523323325132).

The spelling of 131301310222001 in words is "one hundred thirty-one trillion, three hundred one billion, three hundred ten million, two hundred twenty-two thousand, one".