102033403040213 has 2 divisors, whose sum is σ = 102033403040214. Its totient is φ = 102033403040212.

The previous prime is 102033403040171. The next prime is 102033403040281. The reversal of 102033403040213 is 312040304330201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101780798290609 + 252604749604 = 10088647^2 + 502598^2 .

It is a cyclic number.

It is not a de Polignac number, because 102033403040213 - 2¹⁶ = 102033402974677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102033403040293) 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, 51016701520106 + 51016701520107.

It is an arithmetic number, because the mean of its divisors is an integer number (51016701520107).

Almost surely, 2^{102033403040213} is an apocalyptic number.

It is an amenable number.

102033403040213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033403040213 is an equidigital number, since it uses as much as digits as its factorization.

102033403040213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 102033403040213 its reverse (312040304330201), we get a palindrome (414073707370414).

The spelling of 102033403040213 in words is "one hundred two trillion, thirty-three billion, four hundred three million, forty thousand, two hundred thirteen".