Search a number
-
+
133022010012013 is a prime number
BaseRepresentation
bin11110001111101110011001…
…101001110111000101101101
3122102222210001121000000121001
4132033232121221313011231
5114413413034030341023
61150525245012240301
740006344262034023
oct3617563151670555
9572883047000531
10133022010012013
1139426354858781
1212b04682010091
13592bbca031225
1424bc42a2c0713
15105a31b2476ad
hex78fb99a7716d

133022010012013 has 2 divisors, whose sum is σ = 133022010012014. Its totient is φ = 133022010012012.

The previous prime is 133022010011999. The next prime is 133022010012029. The reversal of 133022010012013 is 310210010220331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130545752138244 + 2476257873769 = 11425662^2 + 1573613^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133022010012013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133022010072013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66511005006006 + 66511005006007.

It is an arithmetic number, because the mean of its divisors is an integer number (66511005006007).

Almost surely, 2133022010012013 is an apocalyptic number.

It is an amenable number.

133022010012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133022010012013 is an equidigital number, since it uses as much as digits as its factorization.

133022010012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 133022010012013 its reverse (310210010220331), we get a palindrome (443232020232344).

The spelling of 133022010012013 in words is "one hundred thirty-three trillion, twenty-two billion, ten million, twelve thousand, thirteen".