133212213000 has 96 divisors (see below), whose sum is σ = 450257310360. Its totient is φ = 35523254400.

The previous prime is 133212212989. The next prime is 133212213059. The reversal of 133212213000 is 312212331.

133212213000 is a `hidden beast` number, since 1 + 332 + 12 + 21 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28581959844 + 104630253156 = 169062^2 + 323466^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7391679 + ... + 7409678.

Almost surely, 2^133212213000 is an apocalyptic number.

133212213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133212213000 is an abundant number, since it is smaller than the sum of its proper divisors (317045097360).

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

133212213000 is a wasteful number, since it uses less digits than its factorization.

133212213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14801384 (or 14801367 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133212213000 its reverse (312212331), we get a palindrome (133524425331).

The spelling of 133212213000 in words is "one hundred thirty-three billion, two hundred twelve million, two hundred thirteen thousand".