133313133030000 has 1600 divisors, whose sum is σ = 554219921654784. Its totient is φ = 27023462400000.

The previous prime is 133313133029963. The next prime is 133313133030001. The reversal of 133313133030000 is 30331313331.

133313133030000 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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 (133313133030001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11459904184 + ... + 11459915816.

Almost surely, 2^{133313133030000} is an apocalyptic number.

133313133030000 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 133313133030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277109960827392).

133313133030000 is an abundant number, since it is smaller than the sum of its proper divisors (420906788624784).

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

133313133030000 is a wasteful number, since it uses less digits than its factorization.

133313133030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11745 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 24.

Adding to 133313133030000 its reverse (30331313331), we get a palindrome (133343464343331).

The spelling of 133313133030000 in words is "one hundred thirty-three trillion, three hundred thirteen billion, one hundred thirty-three million, thirty thousand".