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12133013123233 is a prime number
BaseRepresentation
bin1011000010001110111111…
…1011111111000010100001
31120221220102112201212110001
42300203233323333002201
53042241402324420413
641445455042540001
72361403242630502
oct260435773770241
946856375655401
1012133013123233
113958644668022
12143b561667601
136a01a48c1c72
142dd353308ba9
1516091a56b4dd
hexb08efeff0a1

12133013123233 has 2 divisors, whose sum is σ = 12133013123234. Its totient is φ = 12133013123232.

The previous prime is 12133013123207. The next prime is 12133013123239. The reversal of 12133013123233 is 33232131033121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8113336985664 + 4019676137569 = 2848392^2 + 2004913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12133013123233 is a prime.

It is not a weakly prime, because it can be changed into another prime (12133013123239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066506561616 + 6066506561617.

It is an arithmetic number, because the mean of its divisors is an integer number (6066506561617).

Almost surely, 212133013123233 is an apocalyptic number.

It is an amenable number.

12133013123233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133013123233 is an equidigital number, since it uses as much as digits as its factorization.

12133013123233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 12133013123233 its reverse (33232131033121), we get a palindrome (45365144156354).

The spelling of 12133013123233 in words is "twelve trillion, one hundred thirty-three billion, thirteen million, one hundred twenty-three thousand, two hundred thirty-three".