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321113313133 is a prime number
BaseRepresentation
bin1001010110000111101…
…10000100111101101101
31010200211221100110111121
410223003312010331231
520230120002010013
6403303432420541
732125326061204
oct4530366047555
91120757313447
10321113313133
11114202103a18
1252298247751
1324386068ac2
141178323023b
15854604058d
hex4ac3d84f6d

321113313133 has 2 divisors, whose sum is σ = 321113313134. Its totient is φ = 321113313132.

The previous prime is 321113313109. The next prime is 321113313179. The reversal of 321113313133 is 331313311123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222559384644 + 98553928489 = 471762^2 + 313933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-321113313133 is a prime.

It is a super-3 number, since 3×3211133131333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 321113313098 and 321113313107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (321113313193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160556656566 + 160556656567.

It is an arithmetic number, because the mean of its divisors is an integer number (160556656567).

Almost surely, 2321113313133 is an apocalyptic number.

It is an amenable number.

321113313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

321113313133 is an equidigital number, since it uses as much as digits as its factorization.

321113313133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 25.

Adding to 321113313133 its reverse (331313311123), we get a palindrome (652426624256).

The spelling of 321113313133 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred thirteen thousand, one hundred thirty-three".