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12033111313 is a prime number
BaseRepresentation
bin10110011010011101…
…01011010100010001
31011001121102101112101
423031032223110101
5144120434030223
65310011200401
7604122521116
oct131516532421
934047371471
1012033111313
1151154176a3
1223b9a46101
131199c88a12
1482219a90d
154a66114ad
hex2cd3ab511

12033111313 has 2 divisors, whose sum is σ = 12033111314. Its totient is φ = 12033111312.

The previous prime is 12033111283. The next prime is 12033111367. The reversal of 12033111313 is 31311133021.

12033111313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9477606609 + 2555504704 = 97353^2 + 50552^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033111313 - 25 = 12033111281 is a prime.

It is not a weakly prime, because it can be changed into another prime (12033111383) 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, 6016555656 + 6016555657.

It is an arithmetic number, because the mean of its divisors is an integer number (6016555657).

Almost surely, 212033111313 is an apocalyptic number.

It is an amenable number.

12033111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033111313 is an equidigital number, since it uses as much as digits as its factorization.

12033111313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12033111313 its reverse (31311133021), we get a palindrome (43344244334).

The spelling of 12033111313 in words is "twelve billion, thirty-three million, one hundred eleven thousand, three hundred thirteen".