33020200003361 has 2 divisors, whose sum is σ = 33020200003362. Its totient is φ = 33020200003360.

The previous prime is 33020200003279. The next prime is 33020200003363. The reversal of 33020200003361 is 16330000202033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32570990410000 + 449209593361 = 5707100^2 + 670231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33020200003361 is a prime.

It is a super-2 number, since 2×33020200003361² (a number of 28 digits) contains 22 as substring.

Together with 33020200003363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33020200003363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16510100001680 + 16510100001681.

It is an arithmetic number, because the mean of its divisors is an integer number (16510100001681).

Almost surely, 2^{33020200003361} is an apocalyptic number.

It is an amenable number.

33020200003361 is a deficient number, since it is larger than the sum of its proper divisors (1).

33020200003361 is an equidigital number, since it uses as much as digits as its factorization.

33020200003361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 33020200003361 its reverse (16330000202033), we get a palindrome (49350200205394).

The spelling of 33020200003361 in words is "thirty-three trillion, twenty billion, two hundred million, three thousand, three hundred sixty-one".