133200303434001 has 24 divisors (see below), whose sum is σ = 193065371090280. Its totient is φ = 88493478567936.

The previous prime is 133200303433979. The next prime is 133200303434059. The reversal of 133200303434001 is 100434303002331.

133200303434001 is a `hidden beast` number, since 1 + 3 + 320 + 0 + 303 + 4 + 34 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9945344333376 + 123254959100625 = 3153624^2 + 11102025^2 .

It is not a de Polignac number, because 133200303434001 - 2¹⁵ = 133200303401233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133200303439001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485351 + ... + 16509923.

It is an arithmetic number, because the mean of its divisors is an integer number (8044390462095).

Almost surely, 2^{133200303434001} is an apocalyptic number.

It is an amenable number.

133200303434001 is a deficient number, since it is larger than the sum of its proper divisors (59865067656279).

133200303434001 is a wasteful number, since it uses less digits than its factorization.

133200303434001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028225 (or 14028222 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133200303434001 its reverse (100434303002331), we get a palindrome (233634606436332).

The spelling of 133200303434001 in words is "one hundred thirty-three trillion, two hundred billion, three hundred three million, four hundred thirty-four thousand, one".