133233133023121 has 2 divisors, whose sum is σ = 133233133023122. Its totient is φ = 133233133023120.

The previous prime is 133233133023103. The next prime is 133233133023143. The reversal of 133233133023121 is 121320331332331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130978045150096 + 2255087873025 = 11444564^2 + 1501695^2 .

It is a cyclic number.

It is not a de Polignac number, because 133233133023121 - 2¹⁹ = 133233132498833 is a prime.

It is not a weakly prime, because it can be changed into another prime (133233133023421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66616566511560 + 66616566511561.

It is an arithmetic number, because the mean of its divisors is an integer number (66616566511561).

Almost surely, 2^{133233133023121} is an apocalyptic number.

It is an amenable number.

133233133023121 is a deficient number, since it is larger than the sum of its proper divisors (1).

133233133023121 is an equidigital number, since it uses as much as digits as its factorization.

133233133023121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 133233133023121 its reverse (121320331332331), we get a palindrome (254553464355452).

The spelling of 133233133023121 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, one hundred thirty-three million, twenty-three thousand, one hundred twenty-one".