133212210210 has 96 divisors (see below), whose sum is σ = 358555008240. Its totient is φ = 34273419264.

The previous prime is 133212210199. The next prime is 133212210251. The reversal of 133212210210 is 12012212331.

133212210210 is a `hidden beast` number, since 1 + 33 + 212 + 210 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73577105001 + 59635105209 = 271251^2 + 244203^2 .

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3722322 + ... + 3757938.

Almost surely, 2^133212210210 is an apocalyptic number.

133212210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179277504120).

133212210210 is an abundant number, since it is smaller than the sum of its proper divisors (225342798030).

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

133212210210 is a wasteful number, since it uses less digits than its factorization.

133212210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37092 (or 37089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 133212210210 its reverse (12012212331), we get a palindrome (145224422541).

The spelling of 133212210210 in words is "one hundred thirty-three billion, two hundred twelve million, two hundred ten thousand, two hundred ten".