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133312230212033 is a prime number
BaseRepresentation
bin11110010011111100101100…
…001000000100000111000001
3122111000112011112111201212002
4132103330230020010013001
5114433141421413241113
61151310443150313345
740036330225033115
oct3623745410040701
9574015145451762
10133312230212033
113952844356a554
1212b509781b8855
13595039b980132
1424cc4bc61d745
151062b55042c58
hex793f2c2041c1

133312230212033 has 2 divisors, whose sum is σ = 133312230212034. Its totient is φ = 133312230212032.

The previous prime is 133312230212027. The next prime is 133312230212047. The reversal of 133312230212033 is 330212032213331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109578019074304 + 23734211137729 = 10467952^2 + 4871777^2 .

It is an emirp because it is prime and its reverse (330212032213331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133312230212033 - 28 = 133312230211777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133312230211987 and 133312230212005.

It is not a weakly prime, because it can be changed into another prime (133312230212053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656115106016 + 66656115106017.

It is an arithmetic number, because the mean of its divisors is an integer number (66656115106017).

Almost surely, 2133312230212033 is an apocalyptic number.

It is an amenable number.

133312230212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

133312230212033 is an equidigital number, since it uses as much as digits as its factorization.

133312230212033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 133312230212033 its reverse (330212032213331), we get a palindrome (463524262425364).

The spelling of 133312230212033 in words is "one hundred thirty-three trillion, three hundred twelve billion, two hundred thirty million, two hundred twelve thousand, thirty-three".