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12033101313031 is a prime number
BaseRepresentation
bin1010111100011010110010…
…1110101011010000000111
31120121100112112001000212011
42233012230232223100013
53034122242414004111
641331532550035051
72351235316355221
oct257065456532007
946540475030764
1012033101313031
11391a233a97257
121424119348a87
1369394144c546
142d8595c83411
1515d01de52021
hexaf1acbab407

12033101313031 has 2 divisors, whose sum is σ = 12033101313032. Its totient is φ = 12033101313030.

The previous prime is 12033101312929. The next prime is 12033101313043. The reversal of 12033101313031 is 13031310133021.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12033101313031 - 211 = 12033101310983 is a prime.

It is a super-2 number, since 2×120331013130312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12033101312993 and 12033101313011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12033101311031) 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, 6016550656515 + 6016550656516.

It is an arithmetic number, because the mean of its divisors is an integer number (6016550656516).

Almost surely, 212033101313031 is an apocalyptic number.

12033101313031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033101313031 is an equidigital number, since it uses as much as digits as its factorization.

12033101313031 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 22.

Adding to 12033101313031 its reverse (13031310133021), we get a palindrome (25064411446052).

The spelling of 12033101313031 in words is "twelve trillion, thirty-three billion, one hundred one million, three hundred thirteen thousand, thirty-one".