1333100200212 has 144 divisors (see below), whose sum is σ = 3904133373504. Its totient is φ = 379057536000.

The previous prime is 1333100200207. The next prime is 1333100200213. The reversal of 1333100200212 is 2120020013331.

1333100200212 is a `hidden beast` number, since 1 + 333 + 100 + 20 + 0 + 212 = 666.

It is a super-3 number, since 3×1333100200212³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333100200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1929162 + ... + 2527422.

It is an arithmetic number, because the mean of its divisors is an integer number (27112037316).

Almost surely, 2^{1333100200212} is an apocalyptic number.

1333100200212 is a gapful number since it is divisible by the number (12) 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 1333100200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952066686752).

1333100200212 is an abundant number, since it is smaller than the sum of its proper divisors (2571033173292).

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

1333100200212 is a wasteful number, since it uses less digits than its factorization.

1333100200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598630 (or 598625 counting only the distinct ones).

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

Adding to 1333100200212 its reverse (2120020013331), we get a palindrome (3453120213543).

The spelling of 1333100200212 in words is "one trillion, three hundred thirty-three billion, one hundred million, two hundred thousand, two hundred twelve".