133311322303000 has 128 divisors (see below), whose sum is σ = 312310347261120. Its totient is φ = 53262706329600.

The previous prime is 133311322302989. The next prime is 133311322303051. The reversal of 133311322303000 is 303223113331.

It is a super-3 number, since 3×133311322303000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3634720662 + ... + 3634757338.

Almost surely, 2^{133311322303000} is an apocalyptic number.

133311322303000 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 133311322303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156155173630560).

133311322303000 is an abundant number, since it is smaller than the sum of its proper divisors (178999024958120).

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

133311322303000 is a wasteful number, since it uses less digits than its factorization.

133311322303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40814 (or 40800 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 133311322303000 its reverse (303223113331), we get a palindrome (133614545416331).

The spelling of 133311322303000 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred twenty-two million, three hundred three thousand".