33013340331121 has 2 divisors, whose sum is σ = 33013340331122. Its totient is φ = 33013340331120.

The previous prime is 33013340331119. The next prime is 33013340331143. The reversal of 33013340331121 is 12113304331033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27486322707600 + 5527017623521 = 5242740^2 + 2350961^2 .

It is a cyclic number.

It is not a de Polignac number, because 33013340331121 - 2¹ = 33013340331119 is a prime.

It is a super-2 number, since 2×33013340331121² (a number of 28 digits) contains 22 as substring.

Together with 33013340331119, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 33013340331121.

It is not a weakly prime, because it can be changed into another prime (33013340331161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506670165560 + 16506670165561.

It is an arithmetic number, because the mean of its divisors is an integer number (16506670165561).

Almost surely, 2^{33013340331121} is an apocalyptic number.

It is an amenable number.

33013340331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013340331121 is an equidigital number, since it uses as much as digits as its factorization.

33013340331121 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 28.

Adding to 33013340331121 its reverse (12113304331033), we get a palindrome (45126644662154).

The spelling of 33013340331121 in words is "thirty-three trillion, thirteen billion, three hundred forty million, three hundred thirty-one thousand, one hundred twenty-one".