133212210100 has 72 divisors (see below), whose sum is σ = 292112428608. Its totient is φ = 52726502400.

The previous prime is 133212210067. The next prime is 133212210101. The reversal of 133212210100 is 1012212331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133212210101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4609897 + ... + 4638703.

It is an arithmetic number, because the mean of its divisors is an integer number (4057117064).

Almost surely, 2^133212210100 is an apocalyptic number.

133212210100 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 133212210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146056214304).

133212210100 is an abundant number, since it is smaller than the sum of its proper divisors (158900218508).

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

133212210100 is a wasteful number, since it uses less digits than its factorization.

133212210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29305 (or 29298 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133212210100 its reverse (1012212331), we get a palindrome (134224422431).

The spelling of 133212210100 in words is "one hundred thirty-three billion, two hundred twelve million, two hundred ten thousand, one hundred".