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12313003033 is a prime number
BaseRepresentation
bin10110111011110100…
…11000010000011001
31011210010002100210101
423131322120100121
5200204112044113
65353450215401
7614061541012
oct133572302031
934703070711
1012313003033
115249407471
122477724561
131212c66016
1484b418009
154c0e9c2dd
hex2dde98419

12313003033 has 2 divisors, whose sum is σ = 12313003034. Its totient is φ = 12313003032.

The previous prime is 12313003009. The next prime is 12313003051. The reversal of 12313003033 is 33030031321.

12313003033 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., 10622806489 + 1690196544 = 103067^2 + 41112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12313003033 is a prime.

It is a super-2 number, since 2×123130030332 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12313003033.

It is not a weakly prime, because it can be changed into another prime (12313003063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156501516 + 6156501517.

It is an arithmetic number, because the mean of its divisors is an integer number (6156501517).

Almost surely, 212313003033 is an apocalyptic number.

It is an amenable number.

12313003033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313003033 is an equidigital number, since it uses as much as digits as its factorization.

12313003033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 12313003033 its reverse (33030031321), we get a palindrome (45343034354).

The spelling of 12313003033 in words is "twelve billion, three hundred thirteen million, three thousand, thirty-three".