133011012000 has 96 divisors (see below), whose sum is σ = 435744114624. Its totient is φ = 35469600000.

The previous prime is 133011011993. The next prime is 133011012019. The reversal of 133011012000 is 210110331.

133011012000 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5530126 + ... + 5554125.

It is an arithmetic number, because the mean of its divisors is an integer number (4539001194).

Almost surely, 2^133011012000 is an apocalyptic number.

133011012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133011012000 is an abundant number, since it is smaller than the sum of its proper divisors (302733102624).

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

133011012000 is a wasteful number, since it uses less digits than its factorization.

133011012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084279 (or 11084261 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133011012000 its reverse (210110331), we get a palindrome (133221122331).

The spelling of 133011012000 in words is "one hundred thirty-three billion, eleven million, twelve thousand".