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11134113130331 is a prime number
BaseRepresentation
bin1010001000000101110011…
…0110111010011101011011
31110102102002111011121000122
42202001130312322131123
52424410130430132311
635402535125223455
72226261463034312
oct242013466723533
943372074147018
1011134113130331
113602a50661804
1212b9a47b61b8b
13629c334aa3c9
142a6c73003279
1514495568d0db
hexa205cdba75b

11134113130331 has 2 divisors, whose sum is σ = 11134113130332. Its totient is φ = 11134113130330.

The previous prime is 11134113130291. The next prime is 11134113130337. The reversal of 11134113130331 is 13303131143111.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11134113130331 is a prime.

It is a super-5 number, since 5×111341131303315 (a number of 66 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11134113130331.

It is not a weakly prime, because it can be changed into another prime (11134113130337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5567056565165 + 5567056565166.

It is an arithmetic number, because the mean of its divisors is an integer number (5567056565166).

Almost surely, 211134113130331 is an apocalyptic number.

11134113130331 is a deficient number, since it is larger than the sum of its proper divisors (1).

11134113130331 is an equidigital number, since it uses as much as digits as its factorization.

11134113130331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 11134113130331 its reverse (13303131143111), we get a palindrome (24437244273442).

The spelling of 11134113130331 in words is "eleven trillion, one hundred thirty-four billion, one hundred thirteen million, one hundred thirty thousand, three hundred thirty-one".