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131123022001 is a prime number
BaseRepresentation
bin111101000011110001…
…0101000100010110001
3110112110012002200012021
41322013202220202301
54122014443201001
6140123113231441
712321231203656
oct1720742504261
9415405080167
10131123022001
1150677589194
12214b4a02581
13c4987562aa
1464bc6bbc2d
153626745ba1
hex1e878a88b1

131123022001 has 2 divisors, whose sum is σ = 131123022002. Its totient is φ = 131123022000.

The previous prime is 131123021951. The next prime is 131123022007. The reversal of 131123022001 is 100220321131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120447173025 + 10675848976 = 347055^2 + 103324^2 .

It is a cyclic number.

It is not a de Polignac number, because 131123022001 - 235 = 96763283633 is a prime.

It is not a weakly prime, because it can be changed into another prime (131123022007) 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, 65561511000 + 65561511001.

It is an arithmetic number, because the mean of its divisors is an integer number (65561511001).

Almost surely, 2131123022001 is an apocalyptic number.

It is an amenable number.

131123022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131123022001 is an equidigital number, since it uses as much as digits as its factorization.

131123022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131123022001 its reverse (100220321131), we get a palindrome (231343343132).

The spelling of 131123022001 in words is "one hundred thirty-one billion, one hundred twenty-three million, twenty-two thousand, one".