Search a number
-
+
13301035042093 is a prime number
BaseRepresentation
bin1100000110001110001101…
…1110000000010100101101
31202002120022000001010211221
43001203203132000110231
53220411004432321333
644142224450143341
72541653022263341
oct301434336002455
952076260033757
1013301035042093
114268a34584487
1215a99b5881b51
13756389073166
1433dab87d7621
15180eccb49d2d
hexc18e378052d

13301035042093 has 2 divisors, whose sum is σ = 13301035042094. Its totient is φ = 13301035042092.

The previous prime is 13301035042091. The next prime is 13301035042109. The reversal of 13301035042093 is 39024053010331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12776492634084 + 524542408009 = 3574422^2 + 724253^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301035042093 - 21 = 13301035042091 is a prime.

Together with 13301035042091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13301035042091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650517521046 + 6650517521047.

It is an arithmetic number, because the mean of its divisors is an integer number (6650517521047).

Almost surely, 213301035042093 is an apocalyptic number.

It is an amenable number.

13301035042093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301035042093 is an equidigital number, since it uses as much as digits as its factorization.

13301035042093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 34.

The spelling of 13301035042093 in words is "thirteen trillion, three hundred one billion, thirty-five million, forty-two thousand, ninety-three".