133123321221121 has 16 divisors (see below), whose sum is σ = 169103478860928. Its totient is φ = 101775241900800.

The previous prime is 133123321221083. The next prime is 133123321221133. The reversal of 133123321221121 is 121122123321331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133123321221121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133123321221121.

It is not an unprimeable number, because it can be changed into a prime (133123321221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16310130840 + ... + 16310139001.

It is an arithmetic number, because the mean of its divisors is an integer number (10568967428808).

Almost surely, 2^{133123321221121} is an apocalyptic number.

133123321221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133123321221121 is a deficient number, since it is larger than the sum of its proper divisors (35980157639807).

133123321221121 is a wasteful number, since it uses less digits than its factorization.

133123321221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32620269912.

The product of its digits is 2592, while the sum is 28.

Adding to 133123321221121 its reverse (121122123321331), we get a palindrome (254245444542452).

The spelling of 133123321221121 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".