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133122131017 is a prime number
BaseRepresentation
bin111101111111010110…
…0101000010001001001
3110201121111202221012221
41323332230220101021
54140113231143032
6141053325134041
712421614305101
oct1737654502111
9421544687187
10133122131017
1151502a773a7
12219723ba321
13c72697ac35
14662bdc4201
1536e1ece597
hex1efeb28449

133122131017 has 2 divisors, whose sum is σ = 133122131018. Its totient is φ = 133122131016.

The previous prime is 133122130987. The next prime is 133122131039. The reversal of 133122131017 is 710131221331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131751576576 + 1370554441 = 362976^2 + 37021^2 .

It is a cyclic number.

It is not a de Polignac number, because 133122131017 - 211 = 133122128969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133122130982 and 133122131000.

It is not a weakly prime, because it can be changed into another prime (133122141017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561065508 + 66561065509.

It is an arithmetic number, because the mean of its divisors is an integer number (66561065509).

Almost surely, 2133122131017 is an apocalyptic number.

It is an amenable number.

133122131017 is a deficient number, since it is larger than the sum of its proper divisors (1).

133122131017 is an equidigital number, since it uses as much as digits as its factorization.

133122131017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 133122131017 its reverse (710131221331), we get a palindrome (843253352348).

The spelling of 133122131017 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-one thousand, seventeen".