133011110000 has 400 divisors, whose sum is σ = 346569812160. Its totient is φ = 49351680000.

The previous prime is 133011109943. The next prime is 133011110009. The reversal of 133011110000 is 11110331.

It is a happy number.

133011110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133011110009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1291369949 + ... + 1291370051.

Almost surely, 2^133011110000 is an apocalyptic number.

133011110000 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 133011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173284906080).

133011110000 is an abundant number, since it is smaller than the sum of its proper divisors (213558702160).

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

133011110000 is a wasteful number, since it uses less digits than its factorization.

133011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 133011110000 its reverse (11110331), we get a palindrome (133022220331).

The spelling of 133011110000 in words is "one hundred thirty-three billion, eleven million, one hundred ten thousand".