Search a number
-
+
133033132321 is a prime number
BaseRepresentation
bin111101111100101100…
…1001000000100100001
3110201101022022022221221
41323321121020010201
54134422440213241
6141040425415041
712416453652505
oct1737131100441
9421338268857
10133033132321
115146780a361
122194863a481
13c7113b999b
146620258305
1536d929e5d1
hex1ef9648121

133033132321 has 2 divisors, whose sum is σ = 133033132322. Its totient is φ = 133033132320.

The previous prime is 133033132303. The next prime is 133033132357. The reversal of 133033132321 is 123231330331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96199845921 + 36833286400 = 310161^2 + 191920^2 .

It is a cyclic number.

It is not a de Polignac number, because 133033132321 - 213 = 133033124129 is a prime.

It is not a weakly prime, because it can be changed into another prime (133033132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516566160 + 66516566161.

It is an arithmetic number, because the mean of its divisors is an integer number (66516566161).

Almost surely, 2133033132321 is an apocalyptic number.

It is an amenable number.

133033132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033132321 is an equidigital number, since it uses as much as digits as its factorization.

133033132321 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 25.

Adding to 133033132321 its reverse (123231330331), we get a palindrome (256264462652).

The spelling of 133033132321 in words is "one hundred thirty-three billion, thirty-three million, one hundred thirty-two thousand, three hundred twenty-one".