34211012010233 has 2 divisors, whose sum is σ = 34211012010234. Its totient is φ = 34211012010232.

The previous prime is 34211012010211. The next prime is 34211012010323. The reversal of 34211012010233 is 33201021011243.

Together with next prime (34211012010323) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33282895571689 + 928116438544 = 5769133^2 + 963388^2 .

It is a cyclic number.

It is not a de Polignac number, because 34211012010233 - 2¹⁴ = 34211011993849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34211012010199 and 34211012010208.

It is not a weakly prime, because it can be changed into another prime (34211012030233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17105506005116 + 17105506005117.

It is an arithmetic number, because the mean of its divisors is an integer number (17105506005117).

Almost surely, 2^{34211012010233} is an apocalyptic number.

It is an amenable number.

34211012010233 is a deficient number, since it is larger than the sum of its proper divisors (1).

34211012010233 is an equidigital number, since it uses as much as digits as its factorization.

34211012010233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 34211012010233 its reverse (33201021011243), we get a palindrome (67412033021476).

The spelling of 34211012010233 in words is "thirty-four trillion, two hundred eleven billion, twelve million, ten thousand, two hundred thirty-three".