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133001220221329 is a prime number
BaseRepresentation
bin11110001111011011000010…
…011111000110100110010001
3122102220210101201100020012111
4132033123002133012212101
5114413042444334040304
61150511530031025321
740005010136524255
oct3617330237064621
9572823351306174
10133001220221329
1139418556531289
1212b0063b66b241
135929c65b39635
1424bb41716a265
151059a00ebe704
hex78f6c27c6991

133001220221329 has 2 divisors, whose sum is σ = 133001220221330. Its totient is φ = 133001220221328.

The previous prime is 133001220221297. The next prime is 133001220221339. The reversal of 133001220221329 is 923122022100331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129612760257600 + 3388459963729 = 11384760^2 + 1840777^2 .

It is a cyclic number.

It is not a de Polignac number, because 133001220221329 - 25 = 133001220221297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133001220221329.

It is not a weakly prime, because it can be changed into another prime (133001220221339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66500610110664 + 66500610110665.

It is an arithmetic number, because the mean of its divisors is an integer number (66500610110665).

Almost surely, 2133001220221329 is an apocalyptic number.

It is an amenable number.

133001220221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

133001220221329 is an equidigital number, since it uses as much as digits as its factorization.

133001220221329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 133001220221329 in words is "one hundred thirty-three trillion, one billion, two hundred twenty million, two hundred twenty-one thousand, three hundred twenty-nine".