213433300100 has 144 divisors (see below), whose sum is σ = 491904016128. Its totient is φ = 80218152960.

The previous prime is 213433300079. The next prime is 213433300111. The reversal of 213433300100 is 1003334312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30561209 + ... + 30568191.

It is an arithmetic number, because the mean of its divisors is an integer number (3416000112).

Almost surely, 2^213433300100 is an apocalyptic number.

213433300100 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 213433300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245952008064).

213433300100 is an abundant number, since it is smaller than the sum of its proper divisors (278470716028).

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

213433300100 is a wasteful number, since it uses less digits than its factorization.

213433300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7254 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213433300100 its reverse (1003334312), we get a palindrome (214436634412).

The spelling of 213433300100 in words is "two hundred thirteen billion, four hundred thirty-three million, three hundred thousand, one hundred".