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12313312231133 is a prime number
BaseRepresentation
bin1011001100101110101010…
…0110011111111011011101
31121121010210220022112121002
42303023222212133323131
53103220130412344013
642104354010320045
72410415233023344
oct263135246377335
947533726275532
1012313312231133
113a18056824411
12146a49b429025
136b41a94b1224
14307d78b24b5b
1516546e159358
hexb32ea99fedd

12313312231133 has 2 divisors, whose sum is σ = 12313312231134. Its totient is φ = 12313312231132.

The previous prime is 12313312230971. The next prime is 12313312231151. The reversal of 12313312231133 is 33113221331321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11767904871844 + 545407359289 = 3430438^2 + 738517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12313312231133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12313312231096 and 12313312231105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12313312231733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156656115566 + 6156656115567.

It is an arithmetic number, because the mean of its divisors is an integer number (6156656115567).

Almost surely, 212313312231133 is an apocalyptic number.

It is an amenable number.

12313312231133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313312231133 is an equidigital number, since it uses as much as digits as its factorization.

12313312231133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 29.

Adding to 12313312231133 its reverse (33113221331321), we get a palindrome (45426533562454).

The spelling of 12313312231133 in words is "twelve trillion, three hundred thirteen billion, three hundred twelve million, two hundred thirty-one thousand, one hundred thirty-three".