133123100033221 has 2 divisors, whose sum is σ = 133123100033222. Its totient is φ = 133123100033220.

The previous prime is 133123100033201. The next prime is 133123100033237. The reversal of 133123100033221 is 122330001321331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112421191528996 + 20701908504225 = 10602886^2 + 4549935^2 .

It is an emirp because it is prime and its reverse (122330001321331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133123100033221 - 2³⁹ = 132573344219333 is a prime.

It is a super-2 number, since 2×133123100033221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133123100033201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561550016610 + 66561550016611.

It is an arithmetic number, because the mean of its divisors is an integer number (66561550016611).

Almost surely, 2^{133123100033221} is an apocalyptic number.

It is an amenable number.

133123100033221 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123100033221 is an equidigital number, since it uses as much as digits as its factorization.

133123100033221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133123100033221 its reverse (122330001321331), we get a palindrome (255453101354552).

The spelling of 133123100033221 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, one hundred million, thirty-three thousand, two hundred twenty-one".