33303312002141 has 2 divisors, whose sum is σ = 33303312002142. Its totient is φ = 33303312002140.

The previous prime is 33303312002099. The next prime is 33303312002143. The reversal of 33303312002141 is 14120021330333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31699489852900 + 1603822149241 = 5630230^2 + 1266421^2 .

It is a cyclic number.

It is not a de Polignac number, because 33303312002141 - 2²² = 33303307807837 is a prime.

It is a super-2 number, since 2×33303312002141² (a number of 28 digits) contains 22 as substring.

Together with 33303312002143, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33303312002141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33303312002143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16651656001070 + 16651656001071.

It is an arithmetic number, because the mean of its divisors is an integer number (16651656001071).

Almost surely, 2^{33303312002141} is an apocalyptic number.

It is an amenable number.

33303312002141 is a deficient number, since it is larger than the sum of its proper divisors (1).

33303312002141 is an equidigital number, since it uses as much as digits as its factorization.

33303312002141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 33303312002141 its reverse (14120021330333), we get a palindrome (47423333332474).

The spelling of 33303312002141 in words is "thirty-three trillion, three hundred three billion, three hundred twelve million, two thousand, one hundred forty-one".