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13310030001013 is a prime number
BaseRepresentation
bin1100000110101111101110…
…0111000011001101110101
31202010102111212122101210121
43001223323213003031311
53221032420140013023
644150313211251541
72542421644210354
oct301537347031565
952112455571717
1013310030001013
11427182aa42229
1215ab6a6149bb1
13757190779a65
143402cd29999b
1518135767cd5d
hexc1afb9c3375

13310030001013 has 2 divisors, whose sum is σ = 13310030001014. Its totient is φ = 13310030001012.

The previous prime is 13310030000987. The next prime is 13310030001077. The reversal of 13310030001013 is 31010003001331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9152663963569 + 4157366037444 = 3025337^2 + 2038962^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13310030001013 is a prime.

It is a super-2 number, since 2×133100300010132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310030301013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655015000506 + 6655015000507.

It is an arithmetic number, because the mean of its divisors is an integer number (6655015000507).

Almost surely, 213310030001013 is an apocalyptic number.

It is an amenable number.

13310030001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310030001013 is an equidigital number, since it uses as much as digits as its factorization.

13310030001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13310030001013 its reverse (31010003001331), we get a palindrome (44320033002344).

The spelling of 13310030001013 in words is "thirteen trillion, three hundred ten billion, thirty million, one thousand, thirteen".