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13031220001201 is a prime number
BaseRepresentation
bin1011110110100001000100…
…1111010011100110110001
31201010202212010102220200021
42331220101033103212301
53202000414310014301
643414243153323441
72513321531261143
oct275502117234661
951122763386607
1013031220001201
114174566a70786
121565655266581
13736ab9a287cc
14330a004c8c93
15178e8a44c8a1
hexbda113d39b1

13031220001201 has 2 divisors, whose sum is σ = 13031220001202. Its totient is φ = 13031220001200.

The previous prime is 13031220001199. The next prime is 13031220001271. The reversal of 13031220001201 is 10210002213031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12197241927025 + 833978074176 = 3492455^2 + 913224^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031220001201 - 21 = 13031220001199 is a prime.

Together with 13031220001199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13031220001271) 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, 6515610000600 + 6515610000601.

It is an arithmetic number, because the mean of its divisors is an integer number (6515610000601).

Almost surely, 213031220001201 is an apocalyptic number.

It is an amenable number.

13031220001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031220001201 is an equidigital number, since it uses as much as digits as its factorization.

13031220001201 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 13031220001201 its reverse (10210002213031), we get a palindrome (23241222214232).

The spelling of 13031220001201 in words is "thirteen trillion, thirty-one billion, two hundred twenty million, one thousand, two hundred one".