133011201013002 has 24 divisors (see below), whose sum is σ = 310359469030884. Its totient is φ = 40926523388544.

The previous prime is 133011201012959. The next prime is 133011201013063. The reversal of 133011201013002 is 200310102110331.

133011201013002 is a `hidden beast` number, since 1 + 330 + 1 + 1 + 20 + 10 + 1 + 300 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124349016113721 + 8662184899281 = 11151189^2 + 2943159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284211967743 + ... + 284211968210.

Almost surely, 2^{133011201013002} is an apocalyptic number.

133011201013002 is an abundant number, since it is smaller than the sum of its proper divisors (177348268017882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133011201013002 is a wasteful number, since it uses less digits than its factorization.

133011201013002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568423935974 (or 568423935971 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133011201013002 its reverse (200310102110331), we get a palindrome (333321303123333).

The spelling of 133011201013002 in words is "one hundred thirty-three trillion, eleven billion, two hundred one million, thirteen thousand, two".