133313003130330 has 96 divisors (see below), whose sum is σ = 349649131560768. Its totient is φ = 35239570041600.

The previous prime is 133313003130313. The next prime is 133313003130331. The reversal of 133313003130330 is 33031300313331.

133313003130330 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 13 + 0 + 0 + 313 + 0 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133313003130294 and 133313003130303.

It is not an unprimeable number, because it can be changed into a prime (133313003130331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696525 + ... + 16343535.

It is an arithmetic number, because the mean of its divisors is an integer number (3642178453758).

Almost surely, 2^{133313003130330} is an apocalyptic number.

133313003130330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133313003130330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174824565780384).

133313003130330 is an abundant number, since it is smaller than the sum of its proper divisors (216336128430438).

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

133313003130330 is a wasteful number, since it uses less digits than its factorization.

133313003130330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15647852 (or 15647849 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 133313003130330 its reverse (33031300313331), we get a palindrome (166344303443661).

The spelling of 133313003130330 in words is "one hundred thirty-three trillion, three hundred thirteen billion, three million, one hundred thirty thousand, three hundred thirty".