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31101330133 is a prime number
BaseRepresentation
bin11100111101110010…
…001010001011010101
32222021111122021022001
4130331302022023111
51002143420031013
622142053235301
72150501641606
oct347562121325
988244567261
1031101330133
111220a987725
12603b932b31
132c185c0333
141710811dad
15c20673ddd
hex73dc8a2d5

31101330133 has 2 divisors, whose sum is σ = 31101330134. Its totient is φ = 31101330132.

The previous prime is 31101330079. The next prime is 31101330137. The reversal of 31101330133 is 33103310113.

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., 29586408049 + 1514922084 = 172007^2 + 38922^2 .

It is a cyclic number.

It is not a de Polignac number, because 31101330133 - 225 = 31067775701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31101330133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31101330137) 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, 15550665066 + 15550665067.

It is an arithmetic number, because the mean of its divisors is an integer number (15550665067).

Almost surely, 231101330133 is an apocalyptic number.

It is an amenable number.

31101330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31101330133 is an equidigital number, since it uses as much as digits as its factorization.

31101330133 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 31101330133 its reverse (33103310113), we get a palindrome (64204640246).

The spelling of 31101330133 in words is "thirty-one billion, one hundred one million, three hundred thirty thousand, one hundred thirty-three".