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133111213012333 is a prime number
BaseRepresentation
bin11110010001000001011110…
…100100010011010101101101
3122110022022022022011221200201
4132101001132210103111231
5114421343231012343313
61151034240322153501
740015652643031243
oct3621013644232555
9573268268157621
10133111213012333
113946016a5a8146
1212b19a17ab2891
1359374449b115a
1424c288d3d4793
15105c7dc6410dd
hex79105e91356d

133111213012333 has 2 divisors, whose sum is σ = 133111213012334. Its totient is φ = 133111213012332.

The previous prime is 133111213012289. The next prime is 133111213012357. The reversal of 133111213012333 is 333210312111331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84502387180324 + 48608825832009 = 9192518^2 + 6972003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133111213012333 is a prime.

It is a super-2 number, since 2×1331112130123332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133111213012133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66555606506166 + 66555606506167.

It is an arithmetic number, because the mean of its divisors is an integer number (66555606506167).

Almost surely, 2133111213012333 is an apocalyptic number.

It is an amenable number.

133111213012333 is a deficient number, since it is larger than the sum of its proper divisors (1).

133111213012333 is an equidigital number, since it uses as much as digits as its factorization.

133111213012333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 133111213012333 its reverse (333210312111331), we get a palindrome (466321525123664).

The spelling of 133111213012333 in words is "one hundred thirty-three trillion, one hundred eleven billion, two hundred thirteen million, twelve thousand, three hundred thirty-three".