133033002102000 has 1920 divisors, whose sum is σ = 646960219895808. Its totient is φ = 25516726272000.

The previous prime is 133033002101969. The next prime is 133033002102029. The reversal of 133033002102000 is 201200330331.

133033002102000 is a `hidden beast` number, since 1 + 330 + 3 + 300 + 2 + 10 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 486349272 + ... + 486622728.

Almost surely, 2^{133033002102000} is an apocalyptic number.

133033002102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133033002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323480109947904).

133033002102000 is an abundant number, since it is smaller than the sum of its proper divisors (513927217793808).

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

133033002102000 is a wasteful number, since it uses less digits than its factorization.

133033002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273526 (or 273498 counting only the distinct ones).

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

Adding to 133033002102000 its reverse (201200330331), we get a palindrome (133234202432331).

The spelling of 133033002102000 in words is "one hundred thirty-three trillion, thirty-three billion, two million, one hundred two thousand".