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313333210121 is a prime number
BaseRepresentation
bin1001000111101000001…
…11010101110000001001
31002221202201201021120012
410203310013111300021
520113201300210441
6355535430041305
731431455225141
oct4436407256011
91087681637505
10313333210121
1111097a479418
12508867a9235
1323716258559
1411245c47921
15823cece9eb
hex48f41d5c09

313333210121 has 2 divisors, whose sum is σ = 313333210122. Its totient is φ = 313333210120.

The previous prime is 313333210037. The next prime is 313333210181. The reversal of 313333210121 is 121012333313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307097738896 + 6235471225 = 554164^2 + 78965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313333210121 is a prime.

It is not a weakly prime, because it can be changed into another prime (313333210181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156666605060 + 156666605061.

It is an arithmetic number, because the mean of its divisors is an integer number (156666605061).

Almost surely, 2313333210121 is an apocalyptic number.

It is an amenable number.

313333210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

313333210121 is an equidigital number, since it uses as much as digits as its factorization.

313333210121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313333210121 its reverse (121012333313), we get a palindrome (434345543434).

The spelling of 313333210121 in words is "three hundred thirteen billion, three hundred thirty-three million, two hundred ten thousand, one hundred twenty-one".