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12011313130133 is a prime number
BaseRepresentation
bin1010111011001001101000…
…0011010110101010010101
31120112021022001201122211012
42232302122003112222111
53033243132130131013
641313530541422005
72346534352022132
oct256623203265225
946467261648735
1012011313130133
113910a73144a29
12141ba5856a905
1369187b461525
142d74ca2bd589
1515c6962141a8
hexaec9a0d6a95

12011313130133 has 2 divisors, whose sum is σ = 12011313130134. Its totient is φ = 12011313130132.

The previous prime is 12011313130109. The next prime is 12011313130147. The reversal of 12011313130133 is 33103131311021.

12011313130133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11655819339844 + 355493790289 = 3414062^2 + 596233^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011313130133 - 214 = 12011313113749 is a prime.

It is a super-2 number, since 2×120113131301332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011313130099 and 12011313130108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011313130933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005656565066 + 6005656565067.

It is an arithmetic number, because the mean of its divisors is an integer number (6005656565067).

Almost surely, 212011313130133 is an apocalyptic number.

It is an amenable number.

12011313130133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011313130133 is an equidigital number, since it uses as much as digits as its factorization.

12011313130133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 12011313130133 its reverse (33103131311021), we get a palindrome (45114444441154).

The spelling of 12011313130133 in words is "twelve trillion, eleven billion, three hundred thirteen million, one hundred thirty thousand, one hundred thirty-three".