133032120000 has 560 divisors, whose sum is σ = 482905795680. Its totient is φ = 32108544000.

The previous prime is 133032119999. The next prime is 133032120017. The reversal of 133032120000 is 21230331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 82679196 + ... + 82680804.

It is an arithmetic number, because the mean of its divisors is an integer number (862331778).

Almost surely, 2^133032120000 is an apocalyptic number.

133032120000 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 133032120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241452897840).

133032120000 is an abundant number, since it is smaller than the sum of its proper divisors (349873675680).

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

133032120000 is a wasteful number, since it uses less digits than its factorization.

133032120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 133032120000 its reverse (21230331), we get a palindrome (133053350331).

The spelling of 133032120000 in words is "one hundred thirty-three billion, thirty-two million, one hundred twenty thousand".