133221032001 has 12 divisors (see below), whose sum is σ = 192455728660. Its totient is φ = 88802321760.

The previous prime is 133221031991. The next prime is 133221032123. The reversal of 133221032001 is 100230122331.

133221032001 is a `hidden beast` number, since 1 + 332 + 2 + 10 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97141928976 + 36079103025 = 311676^2 + 189945^2 .

It is not a de Polignac number, because 133221032001 - 2¹⁷ = 133220900929 is a prime.

It is a super-2 number, since 2×133221032001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133221032501) 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, 902566 + ... + 1039743.

Almost surely, 2^133221032001 is an apocalyptic number.

It is an amenable number.

133221032001 is a deficient number, since it is larger than the sum of its proper divisors (59234696659).

133221032001 is a wasteful number, since it uses less digits than its factorization.

133221032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949936 (or 1949933 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133221032001 its reverse (100230122331), we get a palindrome (233451154332).

The spelling of 133221032001 in words is "one hundred thirty-three billion, two hundred twenty-one million, thirty-two thousand, one".