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2013130022201 is a prime number
BaseRepresentation
bin11101010010110111111…
…001100101110100111001
321010110020111022002100122
4131102313321211310321
5230440342241202301
64140452534543025
7265305144565124
oct35226771456471
97113214262318
102013130022201
11706844462901
122861a9207a75
13117ab685b98c
146d6165c33bb
1537575a6481b
hex1d4b7e65d39

2013130022201 has 2 divisors, whose sum is σ = 2013130022202. Its totient is φ = 2013130022200.

The previous prime is 2013130022159. The next prime is 2013130022221. The reversal of 2013130022201 is 1022200313102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1827157772176 + 185972250025 = 1351724^2 + 431245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013130022201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013130022201.

It is not a weakly prime, because it can be changed into another prime (2013130022221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006565011100 + 1006565011101.

It is an arithmetic number, because the mean of its divisors is an integer number (1006565011101).

Almost surely, 22013130022201 is an apocalyptic number.

It is an amenable number.

2013130022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013130022201 is an equidigital number, since it uses as much as digits as its factorization.

2013130022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2013130022201 its reverse (1022200313102), we get a palindrome (3035330335303).

The spelling of 2013130022201 in words is "two trillion, thirteen billion, one hundred thirty million, twenty-two thousand, two hundred one".