133203032001 has 48 divisors (see below), whose sum is σ = 209381499600. Its totient is φ = 81110937600.

The previous prime is 133203031993. The next prime is 133203032057. The reversal of 133203032001 is 100230302331.

It can be written as a sum of positive squares in 8 ways, for example, as 17297510400 + 115905521601 = 131520^2 + 340449^2 .

It is not a de Polignac number, because 133203032001 - 2³ = 133203031993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133203032701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36028185 + ... + 36031881.

It is an arithmetic number, because the mean of its divisors is an integer number (4362114575).

Almost surely, 2^133203032001 is an apocalyptic number.

It is an amenable number.

133203032001 is a deficient number, since it is larger than the sum of its proper divisors (76178467599).

133203032001 is a wasteful number, since it uses less digits than its factorization.

133203032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133203032001 its reverse (100230302331), we get a palindrome (233433334332).

The spelling of 133203032001 in words is "one hundred thirty-three billion, two hundred three million, thirty-two thousand, one".