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133130003333 is a prime number
BaseRepresentation
bin111101111111100101…
…0101010001110000101
3110201122001120220000012
41323333022222032011
54140122240101313
6141054210000005
712422041233335
oct1737712521605
9421561526005
10133130003333
1151507463a48
1221974b76005
13c7284a6202
14662d0730c5
1536e2a36da8
hex1eff2aa385

133130003333 has 2 divisors, whose sum is σ = 133130003334. Its totient is φ = 133130003332.

The previous prime is 133130003323. The next prime is 133130003351. The reversal of 133130003333 is 333300031331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132247140964 + 882862369 = 363658^2 + 29713^2 .

It is an emirp because it is prime and its reverse (333300031331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133130003333 - 212 = 133129999237 is a prime.

It is a super-2 number, since 2×1331300033332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133130003299 and 133130003308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133130003323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66565001666 + 66565001667.

It is an arithmetic number, because the mean of its divisors is an integer number (66565001667).

Almost surely, 2133130003333 is an apocalyptic number.

It is an amenable number.

133130003333 is a deficient number, since it is larger than the sum of its proper divisors (1).

133130003333 is an equidigital number, since it uses as much as digits as its factorization.

133130003333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 23.

Adding to 133130003333 its reverse (333300031331), we get a palindrome (466430034664).

The spelling of 133130003333 in words is "one hundred thirty-three billion, one hundred thirty million, three thousand, three hundred thirty-three".