213332020001100 has 2592 divisors, whose sum is σ = 941667027327936. Its totient is φ = 39680144179200.

The previous prime is 213332020001021. The next prime is 213332020001117. The reversal of 213332020001100 is 1100020233312.

213332020001100 is a `hidden beast` number, since 2 + 1 + 33 + 320 + 200 + 0 + 110 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 78633253344 + ... + 78633256056.

Almost surely, 2^{213332020001100} is an apocalyptic number.

213332020001100 is a gapful number since it is divisible by the number (20) 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 213332020001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470833513663968).

213332020001100 is an abundant number, since it is smaller than the sum of its proper divisors (728335007326836).

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

213332020001100 is a wasteful number, since it uses less digits than its factorization.

213332020001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3128 counting only the distinct ones).

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

Adding to 213332020001100 its reverse (1100020233312), we get a palindrome (214432040234412).

The spelling of 213332020001100 in words is "two hundred thirteen trillion, three hundred thirty-two billion, twenty million, one thousand, one hundred".