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131122533133 is a prime number
BaseRepresentation
bin111101000011110000…
…0110001001100001101
3110112110011011211121001
41322013200301030031
54122014332030013
6140123054540301
712321224066464
oct1720740611415
9415404154531
10131122533133
1150677284969
12214b4807691
13c498614917
1464bc5d19db
15362669addd
hex1e8783130d

131122533133 has 2 divisors, whose sum is σ = 131122533134. Its totient is φ = 131122533132.

The previous prime is 131122533097. The next prime is 131122533137. The reversal of 131122533133 is 331335221131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78253348644 + 52869184489 = 279738^2 + 229933^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131122533133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131122533137) 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, 65561266566 + 65561266567.

It is an arithmetic number, because the mean of its divisors is an integer number (65561266567).

Almost surely, 2131122533133 is an apocalyptic number.

It is an amenable number.

131122533133 is a deficient number, since it is larger than the sum of its proper divisors (1).

131122533133 is an equidigital number, since it uses as much as digits as its factorization.

131122533133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 28.

Adding to 131122533133 its reverse (331335221131), we get a palindrome (462457754264).

The spelling of 131122533133 in words is "one hundred thirty-one billion, one hundred twenty-two million, five hundred thirty-three thousand, one hundred thirty-three".