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20113131133 is a prime number
BaseRepresentation
bin10010101110110101…
…100000011001111101
31220220201101220222201
4102232311200121331
5312142430144013
613123450111501
71311264536164
oct225665403175
956821356881
1020113131133
11859137a127
123a93a1b591
131b86c68234
14d8b3343db
157cab663dd
hex4aed6067d

20113131133 has 2 divisors, whose sum is σ = 20113131134. Its totient is φ = 20113131132.

The previous prime is 20113131107. The next prime is 20113131139. The reversal of 20113131133 is 33113131102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19835342244 + 277788889 = 140838^2 + 16667^2 .

It is a cyclic number.

It is not a de Polignac number, because 20113131133 - 213 = 20113122941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20113131133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20113131139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056565566 + 10056565567.

It is an arithmetic number, because the mean of its divisors is an integer number (10056565567).

Almost surely, 220113131133 is an apocalyptic number.

It is an amenable number.

20113131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20113131133 is an equidigital number, since it uses as much as digits as its factorization.

20113131133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 20113131133 its reverse (33113131102), we get a palindrome (53226262235).

The spelling of 20113131133 in words is "twenty billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-three".