133535103836121 has 135 divisors (see below), whose sum is σ = 217392053958189. Its totient is φ = 81650448180288.

The previous prime is 133535103836089. The next prime is 133535103836171. The reversal of 133535103836121 is 121638301535331.

It is a happy number.

The square root of 133535103836121 is 11555739.

It is a perfect power (a square), and thus also a powerful number.

133535103836121 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 510 + 3 + 8 + 3 + 6 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2868806000025 + 130666297836096 = 1693755^2 + 11430936^2 .

It is not a de Polignac number, because 133535103836121 - 2⁵ = 133535103836089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133535103836171) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 382622073855 + ... + 382622074203.

Almost surely, 2^{133535103836121} is an apocalyptic number.

133535103836121 is the 11555739-th square number.

133535103836121 is the 5777870-th centered octagonal number.

It is an amenable number.

133535103836121 is a deficient number, since it is larger than the sum of its proper divisors (83856950122068).

133535103836121 is an frugal number, since it uses more digits than its factorization.

133535103836121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 133535103836121 in words is "one hundred thirty-three trillion, five hundred thirty-five billion, one hundred three million, eight hundred thirty-six thousand, one hundred twenty-one".