133217280000 has 1260 divisors, whose sum is σ = 568871168580. Its totient is φ = 29933568000.

The previous prime is 133217279977. The next prime is 133217280023. The reversal of 133217280000 is 82712331.

It is an interprime number because it is at equal distance from previous prime (133217279977) and next prime (133217280023).

It is a tau number, because it is divible by the number of its divisors (1260).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2257919971 + ... + 2257920029.

Almost surely, 2^133217280000 is an apocalyptic number.

133217280000 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 133217280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284435584290).

133217280000 is an abundant number, since it is smaller than the sum of its proper divisors (435653888580).

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

133217280000 is an frugal number, since it uses more digits than its factorization.

133217280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 133217280000 its reverse (82712331), we get a palindrome (133299992331).

The spelling of 133217280000 in words is "one hundred thirty-three billion, two hundred seventeen million, two hundred eighty thousand".