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213133122329 is a prime number
BaseRepresentation
bin1100011001111110111…
…0010101101100011001
3202101010121120102110112
43012133232111230121
511442444034403304
6241524554254105
721253431435251
oct3063756255431
9671117512415
10213133122329
1182431100406
1235381a27335
131713816088a
14a45c3c0961
15582641eb6e
hex319fb95b19

213133122329 has 2 divisors, whose sum is σ = 213133122330. Its totient is φ = 213133122328.

The previous prime is 213133122289. The next prime is 213133122359. The reversal of 213133122329 is 923221331312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107946416704 + 105186705625 = 328552^2 + 324325^2 .

It is a cyclic number.

It is not a de Polignac number, because 213133122329 - 28 = 213133122073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213133122295 and 213133122304.

It is not a weakly prime, because it can be changed into another prime (213133122359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566561164 + 106566561165.

It is an arithmetic number, because the mean of its divisors is an integer number (106566561165).

Almost surely, 2213133122329 is an apocalyptic number.

It is an amenable number.

213133122329 is a deficient number, since it is larger than the sum of its proper divisors (1).

213133122329 is an equidigital number, since it uses as much as digits as its factorization.

213133122329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 32.

The spelling of 213133122329 in words is "two hundred thirteen billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred twenty-nine".