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201330312121 is a prime number
BaseRepresentation
bin1011101110000000111…
…0001100001110111001
3201020200001111112122201
42323200032030032321
511244311024441441
6232253451150201
720355103263001
oct2734016141671
9636601445581
10201330312121
1178424792404
1233029145361
1315ca6b0b203
149a5ca53001
155385150c31
hex2ee038c3b9

201330312121 has 2 divisors, whose sum is σ = 201330312122. Its totient is φ = 201330312120.

The previous prime is 201330312091. The next prime is 201330312149. The reversal of 201330312121 is 121213033102.

201330312121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103048062121 + 98282250000 = 321011^2 + 313500^2 .

It is a cyclic number.

It is not a de Polignac number, because 201330312121 - 217 = 201330181049 is a prime.

It is not a weakly prime, because it can be changed into another prime (201330312721) 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, 100665156060 + 100665156061.

It is an arithmetic number, because the mean of its divisors is an integer number (100665156061).

Almost surely, 2201330312121 is an apocalyptic number.

It is an amenable number.

201330312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201330312121 is an equidigital number, since it uses as much as digits as its factorization.

201330312121 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 201330312121 its reverse (121213033102), we get a palindrome (322543345223).

The spelling of 201330312121 in words is "two hundred one billion, three hundred thirty million, three hundred twelve thousand, one hundred twenty-one".