133442133011121 has 16 divisors (see below), whose sum is σ = 194097863736000. Its totient is φ = 80873930123520.

The previous prime is 133442133011113. The next prime is 133442133011227. The reversal of 133442133011121 is 121110331244331.

It is a happy number.

It is not a de Polignac number, because 133442133011121 - 2³ = 133442133011113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133442133016121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39435261 + ... + 42685173.

It is an arithmetic number, because the mean of its divisors is an integer number (12131116483500).

Almost surely, 2^{133442133011121} is an apocalyptic number.

133442133011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133442133011121 is a deficient number, since it is larger than the sum of its proper divisors (60655730724879).

133442133011121 is a wasteful number, since it uses less digits than its factorization.

133442133011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494176.

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 133442133011121 its reverse (121110331244331), we get a palindrome (254552464255452).

The spelling of 133442133011121 in words is "one hundred thirty-three trillion, four hundred forty-two billion, one hundred thirty-three million, eleven thousand, one hundred twenty-one".