121144424132133 has 12 divisors (see below), whose sum is σ = 174986612760960. Its totient is φ = 80762846799336.

The previous prime is 121144424132077. The next prime is 121144424132177. The reversal of 121144424132133 is 331231424441121.

121144424132133 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 4 + 424 + 13 + 213 + 3 = 666.

It is not a de Polignac number, because 121144424132133 - 2¹⁰ = 121144424131109 is a prime.

It is a super-3 number, since 3×121144424132133³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121144424152133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695541 + ... + 15581162.

It is an arithmetic number, because the mean of its divisors is an integer number (14582217730080).

Almost surely, 2^{121144424132133} is an apocalyptic number.

It is an amenable number.

121144424132133 is a deficient number, since it is larger than the sum of its proper divisors (53842188628827).

121144424132133 is a wasteful number, since it uses less digits than its factorization.

121144424132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103688 (or 17103685 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 121144424132133 its reverse (331231424441121), we get a palindrome (452375848573254).

The spelling of 121144424132133 in words is "one hundred twenty-one trillion, one hundred forty-four billion, four hundred twenty-four million, one hundred thirty-two thousand, one hundred thirty-three".