Search a number
-
+
13112011332961 is a prime number
BaseRepresentation
bin1011111011001110000011…
…0001110001110101100001
31201102111101121120210202221
42332303200301301311201
53204311344400123321
643515324100111041
72522211602254342
oct276634061616541
951374347523687
1013112011332961
1141a5855628052
121579242095481
137415c3a99b68
143348a63b40c9
1517b11812ee41
hexbece0c71d61

13112011332961 has 2 divisors, whose sum is σ = 13112011332962. Its totient is φ = 13112011332960.

The previous prime is 13112011332949. The next prime is 13112011333021. The reversal of 13112011332961 is 16923311021131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12969613782225 + 142397550736 = 3601335^2 + 377356^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112011332961 - 223 = 13112002944353 is a prime.

It is a super-3 number, since 3×131120113329613 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13112011333961) 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, 6556005666480 + 6556005666481.

It is an arithmetic number, because the mean of its divisors is an integer number (6556005666481).

Almost surely, 213112011332961 is an apocalyptic number.

It is an amenable number.

13112011332961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112011332961 is an equidigital number, since it uses as much as digits as its factorization.

13112011332961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 13112011332961 in words is "thirteen trillion, one hundred twelve billion, eleven million, three hundred thirty-two thousand, nine hundred sixty-one".