133433121120 has 192 divisors, whose sum is σ = 463173790464. Its totient is φ = 32081172480.

The previous prime is 133433121067. The next prime is 133433121121. The reversal of 133433121120 is 21121334331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133433121121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19675 + ... + 516965.

It is an arithmetic number, because the mean of its divisors is an integer number (2412363492).

Almost surely, 2^133433121120 is an apocalyptic number.

133433121120 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 133433121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231586895232).

133433121120 is an abundant number, since it is smaller than the sum of its proper divisors (329740669344).

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

133433121120 is a wasteful number, since it uses less digits than its factorization.

133433121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497365 (or 497357 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133433121120 its reverse (21121334331), we get a palindrome (154554455451).

The spelling of 133433121120 in words is "one hundred thirty-three billion, four hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".