133230011313000 has 512 divisors, whose sum is σ = 503197625548800. Its totient is φ = 28650263040000.

The previous prime is 133230011312977. The next prime is 133230011313011. The reversal of 133230011313000 is 313110032331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 949192825 + ... + 949333175.

It is an arithmetic number, because the mean of its divisors is an integer number (982807862400).

Almost surely, 2^{133230011313000} is an apocalyptic number.

133230011313000 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 133230011313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251598812774400).

133230011313000 is an abundant number, since it is smaller than the sum of its proper divisors (369967614235800).

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

133230011313000 is a wasteful number, since it uses less digits than its factorization.

133230011313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143058 (or 143044 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133230011313000 its reverse (313110032331), we get a palindrome (133543121345331).

The spelling of 133230011313000 in words is "one hundred thirty-three trillion, two hundred thirty billion, eleven million, three hundred thirteen thousand".