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133113030013 is a prime number
BaseRepresentation
bin111101111111000100…
…1111010010101111101
3110201120212122112222201
41323332021322111331
54140103413430023
6141052402111501
712421444041415
oct1737611722575
9421525575881
10133113030013
11514a8920707
122196b34b591
13c724b12622
14662aad5645
1536e12d2bad
hex1efe27a57d

133113030013 has 2 divisors, whose sum is σ = 133113030014. Its totient is φ = 133113030012.

The previous prime is 133113029953. The next prime is 133113030019. The reversal of 133113030013 is 310030311331.

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., 94798099449 + 38314930564 = 307893^2 + 195742^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133113030013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133113030019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556515006 + 66556515007.

It is an arithmetic number, because the mean of its divisors is an integer number (66556515007).

Almost surely, 2133113030013 is an apocalyptic number.

It is an amenable number.

133113030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133113030013 is an equidigital number, since it uses as much as digits as its factorization.

133113030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133113030013 its reverse (310030311331), we get a palindrome (443143341344).

The spelling of 133113030013 in words is "one hundred thirty-three billion, one hundred thirteen million, thirty thousand, thirteen".