Search a number
-
+
133120133312293 is a prime number
BaseRepresentation
bin11110010001001001110010…
…010000100010111100100101
3122110100011022222022010210201
4132101021302100202330211
5114422020013111443133
61151042313415150501
740016420000235541
oct3621116220427445
9573304288263721
10133120133312293
1139463a27902576
1212b1b6a7375431
135938236aa775a
1424c3097dc0a21
15105cb60827d7d
hex791272422f25

133120133312293 has 2 divisors, whose sum is σ = 133120133312294. Its totient is φ = 133120133312292.

The previous prime is 133120133312219. The next prime is 133120133312303. The reversal of 133120133312293 is 392213331021331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78552024509764 + 54568108802529 = 8862958^2 + 7387023^2 .

It is an emirp because it is prime and its reverse (392213331021331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133120133312293 - 237 = 132982694358821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133120133372293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66560066656146 + 66560066656147.

It is an arithmetic number, because the mean of its divisors is an integer number (66560066656147).

Almost surely, 2133120133312293 is an apocalyptic number.

It is an amenable number.

133120133312293 is a deficient number, since it is larger than the sum of its proper divisors (1).

133120133312293 is an equidigital number, since it uses as much as digits as its factorization.

133120133312293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 37.

The spelling of 133120133312293 in words is "one hundred thirty-three trillion, one hundred twenty billion, one hundred thirty-three million, three hundred twelve thousand, two hundred ninety-three".