133212013000 has 128 divisors (see below), whose sum is σ = 345131280000. Its totient is φ = 47717472000.

The previous prime is 133212012833. The next prime is 133212013009. The reversal of 133212013000 is 310212331.

133212013000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133212013009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646626 + ... + 827374.

It is an arithmetic number, because the mean of its divisors is an integer number (2696338125).

Almost surely, 2^133212013000 is an apocalyptic number.

133212013000 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 133212013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172565640000).

133212013000 is an abundant number, since it is smaller than the sum of its proper divisors (211919267000).

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

133212013000 is a wasteful number, since it uses less digits than its factorization.

133212013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180848 (or 180834 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133212013000 its reverse (310212331), we get a palindrome (133522225331).

The spelling of 133212013000 in words is "one hundred thirty-three billion, two hundred twelve million, thirteen thousand".