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1313201131201 is a prime number
BaseRepresentation
bin10011000111000000111…
…000110000111011000001
311122112121020121101211101
4103013000320300323001
5133003413442144301
62443135401414401
7163606230304351
oct23070070607301
94575536541741
101313201131201
11466a1a892483
1219261049a401
1396ab005b28b
14477b890cb61
152425cd56701
hex131c0e30ec1

1313201131201 has 2 divisors, whose sum is σ = 1313201131202. Its totient is φ = 1313201131200.

The previous prime is 1313201131199. The next prime is 1313201131331. The reversal of 1313201131201 is 1021311023131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 859227033025 + 453974098176 = 926945^2 + 673776^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313201131201 - 21 = 1313201131199 is a prime.

Together with 1313201131199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1313201191201) 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, 656600565600 + 656600565601.

It is an arithmetic number, because the mean of its divisors is an integer number (656600565601).

Almost surely, 21313201131201 is an apocalyptic number.

It is an amenable number.

1313201131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313201131201 is an equidigital number, since it uses as much as digits as its factorization.

1313201131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1313201131201 its reverse (1021311023131), we get a palindrome (2334512154332).

The spelling of 1313201131201 in words is "one trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, two hundred one".