43633122133121 has 2 divisors, whose sum is σ = 43633122133122. Its totient is φ = 43633122133120.

The previous prime is 43633122133109. The next prime is 43633122133123. The reversal of 43633122133121 is 12133122133634.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26853538561600 + 16779583571521 = 5182040^2 + 4096289^2 .

It is a cyclic number.

It is not a de Polignac number, because 43633122133121 - 2¹⁸ = 43633121870977 is a prime.

Together with 43633122133123, 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 (43633122133123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21816561066560 + 21816561066561.

It is an arithmetic number, because the mean of its divisors is an integer number (21816561066561).

Almost surely, 2^{43633122133121} is an apocalyptic number.

It is an amenable number.

43633122133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

43633122133121 is an equidigital number, since it uses as much as digits as its factorization.

43633122133121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 35.

Adding to 43633122133121 its reverse (12133122133634), we get a palindrome (55766244266755).

The spelling of 43633122133121 in words is "forty-three trillion, six hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-one".