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230313130100033 is a prime number
BaseRepresentation
bin110100010111011111110100…
…010011101000010101000001
31010012110201110000212000221212
4310113133310103220111001
5220141422242301200113
62133500220305255505
766340401031652411
oct6427376423502501
91105421400760855
10230313130100033
1167426282766142
12219b8289334595
139b68586850896
1440c3301c66641
151b95e8e0c70a8
hexd177f44e8541

230313130100033 has 2 divisors, whose sum is σ = 230313130100034. Its totient is φ = 230313130100032.

The previous prime is 230313130099999. The next prime is 230313130100083. The reversal of 230313130100033 is 330001031313032.

230313130100033 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., 159456079718464 + 70857050381569 = 12627592^2 + 8417663^2 .

It is a cyclic number.

It is not a de Polignac number, because 230313130100033 - 220 = 230313129051457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230313130099981 and 230313130100008.

It is not a weakly prime, because it can be changed into another prime (230313130100083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115156565050016 + 115156565050017.

It is an arithmetic number, because the mean of its divisors is an integer number (115156565050017).

Almost surely, 2230313130100033 is an apocalyptic number.

It is an amenable number.

230313130100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

230313130100033 is an equidigital number, since it uses as much as digits as its factorization.

230313130100033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 230313130100033 its reverse (330001031313032), we get a palindrome (560314161413065).

The spelling of 230313130100033 in words is "two hundred thirty trillion, three hundred thirteen billion, one hundred thirty million, one hundred thousand, thirty-three".