213333212100 has 144 divisors (see below), whose sum is σ = 620796391488. Its totient is φ = 56562408960.

The previous prime is 213333212083. The next prime is 213333212101. The reversal of 213333212100 is 1212333312.

It is a super-2 number, since 2×213333212100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213333212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41046702 + ... + 41051898.

It is an arithmetic number, because the mean of its divisors is an integer number (4311086052).

Almost surely, 2^213333212100 is an apocalyptic number.

213333212100 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 213333212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310398195744).

213333212100 is an abundant number, since it is smaller than the sum of its proper divisors (407463179388).

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

213333212100 is a wasteful number, since it uses less digits than its factorization.

213333212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213333212100 its reverse (1212333312), we get a palindrome (214545545412).

It can be divided in two parts, 213333212 and 100, that added together give a palindrome (213333312).

The spelling of 213333212100 in words is "two hundred thirteen billion, three hundred thirty-three million, two hundred twelve thousand, one hundred".