133406832001 has 3 divisors (see below), whose sum is σ = 133407197251. Its totient is φ = 133406466752.

The previous prime is 133406831969. The next prime is 133406832071. The reversal of 133406832001 is 100238604331.

The square root of 133406832001 is 365249.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100238604331 = 44027 ⋅2276753.

It can be written as a sum of positive squares in only one way, i.e., 20967329601 + 112439502400 = 144801^2 + 335320^2 .

It is not a de Polignac number, because 133406832001 - 2⁵ = 133406831969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133406832071) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 182625 + ... + 547873.

Almost surely, 2^133406832001 is an apocalyptic number.

133406832001 is the 365249-th square number.

133406832001 is the 182625-th centered octagonal number.

It is an amenable number.

133406832001 is a deficient number, since it is larger than the sum of its proper divisors (365250).

133406832001 is an frugal number, since it uses more digits than its factorization.

133406832001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730498 (or 365249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 133406832001 in words is "one hundred thirty-three billion, four hundred six million, eight hundred thirty-two thousand, one".