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123021310133 is a prime number
BaseRepresentation
bin111001010010010100…
…1000011100010110101
3102202112120022001211202
41302210221003202311
54003421423411013
6132303141342245
711613403611521
oct1624451034265
9382476261752
10123021310133
114819a360147
121ba13707985
13b7a7120447
145d506d8d81
153300358858
hex1ca4a438b5

123021310133 has 2 divisors, whose sum is σ = 123021310134. Its totient is φ = 123021310132.

The previous prime is 123021310127. The next prime is 123021310177. The reversal of 123021310133 is 331013120321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106365342769 + 16655967364 = 326137^2 + 129058^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123021310133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123021310103) 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, 61510655066 + 61510655067.

It is an arithmetic number, because the mean of its divisors is an integer number (61510655067).

Almost surely, 2123021310133 is an apocalyptic number.

It is an amenable number.

123021310133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123021310133 is an equidigital number, since it uses as much as digits as its factorization.

123021310133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123021310133 its reverse (331013120321), we get a palindrome (454034430454).

The spelling of 123021310133 in words is "one hundred twenty-three billion, twenty-one million, three hundred ten thousand, one hundred thirty-three".