133213113000 has 512 divisors, whose sum is σ = 505750003200. Its totient is φ = 32168448000.

The previous prime is 133213112969. The next prime is 133213113029. The reversal of 133213113000 is 311312331.

It is a happy number.

133213113000 is a `hidden beast` number, since 1 + 3 + 321 + 311 + 30 + 0 + 0 = 666.

133213113000 is digitally balanced in base 3, 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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92960284 + ... + 92961716.

It is an arithmetic number, because the mean of its divisors is an integer number (987792975).

Almost surely, 2^133213113000 is an apocalyptic number.

133213113000 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 133213113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252875001600).

133213113000 is an abundant number, since it is smaller than the sum of its proper divisors (372536890200).

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

133213113000 is a wasteful number, since it uses less digits than its factorization.

133213113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133213113000 its reverse (311312331), we get a palindrome (133524425331).

The spelling of 133213113000 in words is "one hundred thirty-three billion, two hundred thirteen million, one hundred thirteen thousand".