10042123205333 has 2 divisors, whose sum is σ = 10042123205334. Its totient is φ = 10042123205332.

The previous prime is 10042123205299. The next prime is 10042123205353. The reversal of 10042123205333 is 33350232124001.

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., 9275179888324 + 766943317009 = 3045518^2 + 875753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042123205333 - 2¹⁸ = 10042122943189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042123205296 and 10042123205305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042123205353) 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, 5021061602666 + 5021061602667.

It is an arithmetic number, because the mean of its divisors is an integer number (5021061602667).

Almost surely, 2^{10042123205333} is an apocalyptic number.

It is an amenable number.

10042123205333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042123205333 is an equidigital number, since it uses as much as digits as its factorization.

10042123205333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 10042123205333 its reverse (33350232124001), we get a palindrome (43392355329334).

The spelling of 10042123205333 in words is "ten trillion, forty-two billion, one hundred twenty-three million, two hundred five thousand, three hundred thirty-three".