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12003000300133 is a prime number
BaseRepresentation
bin1010111010101010101010…
…0100011011001001100101
31120111110211201200010211121
42232222222210123021211
53033124121034101013
641310034024533541
72346121352105143
oct256525244331145
946443751603747
1012003000300133
11390849782a797
12141a3186212b1
13690b5517a8cb
142d6d3c262593
1515c35b52358d
hexaeaaa91b265

12003000300133 has 2 divisors, whose sum is σ = 12003000300134. Its totient is φ = 12003000300132.

The previous prime is 12003000300091. The next prime is 12003000300143. The reversal of 12003000300133 is 33100300030021.

12003000300133 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., 11694772136644 + 308228163489 = 3419762^2 + 555183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12003000300133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12003000300143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001500150066 + 6001500150067.

It is an arithmetic number, because the mean of its divisors is an integer number (6001500150067).

Almost surely, 212003000300133 is an apocalyptic number.

It is an amenable number.

12003000300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003000300133 is an equidigital number, since it uses as much as digits as its factorization.

12003000300133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 12003000300133 its reverse (33100300030021), we get a palindrome (45103300330154).

The spelling of 12003000300133 in words is "twelve trillion, three billion, three hundred thousand, one hundred thirty-three".