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13131120003301 is a prime number
BaseRepresentation
bin1011111100010101001110…
…1111100100100011100101
31201111022201022220211121001
42333011103233210203211
53210120013210101201
643532204145153301
72523456252263446
oct277052357444345
951438638824531
1013131120003301
114202970a06993
121580a9562b831
1374334a8c56a1
1433579a1592cd
1517b8859d3301
hexbf153be48e5

13131120003301 has 2 divisors, whose sum is σ = 13131120003302. Its totient is φ = 13131120003300.

The previous prime is 13131120003293. The next prime is 13131120003317. The reversal of 13131120003301 is 10330002113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12460688200900 + 670431802401 = 3529970^2 + 818799^2 .

It is an emirp because it is prime and its reverse (10330002113131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131120003301 - 23 = 13131120003293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131120003341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565560001650 + 6565560001651.

It is an arithmetic number, because the mean of its divisors is an integer number (6565560001651).

Almost surely, 213131120003301 is an apocalyptic number.

It is an amenable number.

13131120003301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131120003301 is an equidigital number, since it uses as much as digits as its factorization.

13131120003301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131120003301 its reverse (10330002113131), we get a palindrome (23461122116432).

The spelling of 13131120003301 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty million, three thousand, three hundred one".