33014034133313 has 2 divisors, whose sum is σ = 33014034133314. Its totient is φ = 33014034133312.

The previous prime is 33014034133273. The next prime is 33014034133343. The reversal of 33014034133313 is 31333143041033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22163117203984 + 10850916929329 = 4707772^2 + 3294073^2 .

It is an emirp because it is prime and its reverse (31333143041033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33014034133313 - 2⁸ = 33014034133057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33014034133313.

It is not a weakly prime, because it can be changed into another prime (33014034133343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16507017066656 + 16507017066657.

It is an arithmetic number, because the mean of its divisors is an integer number (16507017066657).

Almost surely, 2^{33014034133313} is an apocalyptic number.

It is an amenable number.

33014034133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33014034133313 is an equidigital number, since it uses as much as digits as its factorization.

33014034133313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 33014034133313 its reverse (31333143041033), we get a palindrome (64347177174346).

The spelling of 33014034133313 in words is "thirty-three trillion, fourteen billion, thirty-four million, one hundred thirty-three thousand, three hundred thirteen".