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121013200013 is a prime number
BaseRepresentation
bin111000010110011110…
…0101110010010001101
3102120100121200111121212
41300230330232102031
53440313334400023
6131332004504205
711512551141206
oct1605474562215
9376317614555
10121013200013
1147359884302
121b5530ab065
13b5470967c4
145bddb2c5ad
153233de2e78
hex1c2cf2e48d

121013200013 has 2 divisors, whose sum is σ = 121013200014. Its totient is φ = 121013200012.

The previous prime is 121013199997. The next prime is 121013200019. The reversal of 121013200013 is 310002310121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78681372004 + 42331828009 = 280502^2 + 205747^2 .

It is a cyclic number.

It is not a de Polignac number, because 121013200013 - 24 = 121013199997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121013200019) 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, 60506600006 + 60506600007.

It is an arithmetic number, because the mean of its divisors is an integer number (60506600007).

Almost surely, 2121013200013 is an apocalyptic number.

It is an amenable number.

121013200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121013200013 is an equidigital number, since it uses as much as digits as its factorization.

121013200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 121013200013 its reverse (310002310121), we get a palindrome (431015510134).

The spelling of 121013200013 in words is "one hundred twenty-one billion, thirteen million, two hundred thousand, thirteen".