33141414200221 has 2 divisors, whose sum is σ = 33141414200222. Its totient is φ = 33141414200220.

The previous prime is 33141414200183. The next prime is 33141414200327. The reversal of 33141414200221 is 12200241414133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18716534240121 + 14424879960100 = 4326261^2 + 3798010^2 .

It is a cyclic number.

It is not a de Polignac number, because 33141414200221 - 2¹⁵ = 33141414167453 is a prime.

It is a super-3 number, since 3×33141414200221³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33141414200221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33141414200821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16570707100110 + 16570707100111.

It is an arithmetic number, because the mean of its divisors is an integer number (16570707100111).

Almost surely, 2^{33141414200221} is an apocalyptic number.

It is an amenable number.

33141414200221 is a deficient number, since it is larger than the sum of its proper divisors (1).

33141414200221 is an equidigital number, since it uses as much as digits as its factorization.

33141414200221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 33141414200221 its reverse (12200241414133), we get a palindrome (45341655614354).

The spelling of 33141414200221 in words is "thirty-three trillion, one hundred forty-one billion, four hundred fourteen million, two hundred thousand, two hundred twenty-one".