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123121031333 is a prime number
BaseRepresentation
bin111001010101010010…
…1011101100010100101
3102202210111221102121112
41302222211131202211
54004122441000313
6132321102554405
711616024333056
oct1625245354245
9382714842545
10123121031333
1148240681163
121ba40b98a05
13b7c1997081
145d5da5672d
153308ea58a8
hex1caa95d8a5

123121031333 has 2 divisors, whose sum is σ = 123121031334. Its totient is φ = 123121031332.

The previous prime is 123121031323. The next prime is 123121031393. The reversal of 123121031333 is 333130121321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64654758529 + 58466272804 = 254273^2 + 241798^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121031333 - 214 = 123121014949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123121031299 and 123121031308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123121031323) 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, 61560515666 + 61560515667.

It is an arithmetic number, because the mean of its divisors is an integer number (61560515667).

Almost surely, 2123121031333 is an apocalyptic number.

It is an amenable number.

123121031333 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121031333 is an equidigital number, since it uses as much as digits as its factorization.

123121031333 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 123121031333 its reverse (333130121321), we get a palindrome (456251152654).

The spelling of 123121031333 in words is "one hundred twenty-three billion, one hundred twenty-one million, thirty-one thousand, three hundred thirty-three".