34021300033313 has 2 divisors, whose sum is σ = 34021300033314. Its totient is φ = 34021300033312.

The previous prime is 34021300033223. The next prime is 34021300033321. The reversal of 34021300033313 is 31333000312043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33909856229089 + 111443804224 = 5823217^2 + 333832^2 .

It is a cyclic number.

It is not a de Polignac number, because 34021300033313 - 2²² = 34021295839009 is a prime.

It is not a weakly prime, because it can be changed into another prime (34021300033813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17010650016656 + 17010650016657.

It is an arithmetic number, because the mean of its divisors is an integer number (17010650016657).

Almost surely, 2^{34021300033313} is an apocalyptic number.

It is an amenable number.

34021300033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34021300033313 is an equidigital number, since it uses as much as digits as its factorization.

34021300033313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 34021300033313 its reverse (31333000312043), we get a palindrome (65354300345356).

The spelling of 34021300033313 in words is "thirty-four trillion, twenty-one billion, three hundred million, thirty-three thousand, three hundred thirteen".