133121565302121 has 80 divisors (see below), whose sum is σ = 219173017193856. Its totient is φ = 79849476000000.

The previous prime is 133121565302107. The next prime is 133121565302129. The reversal of 133121565302121 is 121203565121331.

It is a happy number.

133121565302121 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 21 + 565 + 30 + 21 + 21 = 666.

It is not a de Polignac number, because 133121565302121 - 2¹⁰ = 133121565301097 is a prime.

It is a super-3 number, since 3×133121565302121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133121565302129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 229277101 + ... + 229856981.

Almost surely, 2^{133121565302121} is an apocalyptic number.

133121565302121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133121565302121 is a deficient number, since it is larger than the sum of its proper divisors (86051451891735).

133121565302121 is a wasteful number, since it uses less digits than its factorization.

133121565302121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582556 (or 582547 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 133121565302121 in words is "one hundred thirty-three trillion, one hundred twenty-one billion, five hundred sixty-five million, three hundred two thousand, one hundred twenty-one".