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133131322333 is a prime number
BaseRepresentation
bin111101111111100111…
…1101100001111011101
3110201122011001220100001
41323333033230033131
54140123104303313
6141054254134301
712422055365662
oct1737717541735
9421564056301
10133131322333
1151508184a29
12219754b1391
13c728848699
14662d2d7a69
1536e2be7add
hex1eff3ec3dd

133131322333 has 2 divisors, whose sum is σ = 133131322334. Its totient is φ = 133131322332.

The previous prime is 133131322307. The next prime is 133131322367. The reversal of 133131322333 is 333223131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127611129529 + 5520192804 = 357227^2 + 74298^2 .

It is an emirp because it is prime and its reverse (333223131331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133131322333 is a prime.

It is a super-2 number, since 2×1331313223332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133131322033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565661166 + 66565661167.

It is an arithmetic number, because the mean of its divisors is an integer number (66565661167).

Almost surely, 2133131322333 is an apocalyptic number.

It is an amenable number.

133131322333 is a deficient number, since it is larger than the sum of its proper divisors (1).

133131322333 is an equidigital number, since it uses as much as digits as its factorization.

133131322333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 28.

Adding to 133131322333 its reverse (333223131331), we get a palindrome (466354453664).

The spelling of 133131322333 in words is "one hundred thirty-three billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-three".