133313000 has 64 divisors (see below), whose sum is σ = 322779600. Its totient is φ = 51475200.

The previous prime is 133312957. The next prime is 133313057. The reversal of 133313000 is 313331.

It can be written as a sum of positive squares in 8 ways, for example, as 556516 + 132756484 = 746^2 + 11522^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26702 + ... + 31298.

Almost surely, 2^133313000 is an apocalyptic number.

133313000 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 133313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161389800).

133313000 is an abundant number, since it is smaller than the sum of its proper divisors (189466600).

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

133313000 is a wasteful number, since it uses less digits than its factorization.

133313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 133313000 is about 11546.1248910619. The cubic root of 133313000 is about 510.8469842336.

Adding to 133313000 its reverse (313331), we get a palindrome (133626331).

The spelling of 133313000 in words is "one hundred thirty-three million, three hundred thirteen thousand".