33105121213 has 2 divisors, whose sum is σ = 33105121214. Its totient is φ = 33105121212.

The previous prime is 33105121211. The next prime is 33105121243. The reversal of 33105121213 is 31212150133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31836194329 + 1268926884 = 178427^2 + 35622^2 .

It is an emirp because it is prime and its reverse (31212150133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33105121213 - 2¹ = 33105121211 is a prime.

Together with 33105121211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33105121211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16552560606 + 16552560607.

It is an arithmetic number, because the mean of its divisors is an integer number (16552560607).

Almost surely, 2^33105121213 is an apocalyptic number.

It is an amenable number.

33105121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33105121213 is an equidigital number, since it uses as much as digits as its factorization.

33105121213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 33105121213 its reverse (31212150133), we get a palindrome (64317271346).

The spelling of 33105121213 in words is "thirty-three billion, one hundred five million, one hundred twenty-one thousand, two hundred thirteen".