213323300100 has 108 divisors (see below), whose sum is σ = 669645470676. Its totient is φ = 56801525760.

The previous prime is 213323300083. The next prime is 213323300101. The reversal of 213323300100 is 1003323312.

213323300100 is a `hidden beast` number, since 2 + 1 + 332 + 330 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18212042304 + 195111257796 = 134952^2 + 441714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213323300101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 429604 + ... + 781796.

Almost surely, 2^213323300100 is an apocalyptic number.

213323300100 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 213323300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334822735338).

213323300100 is an abundant number, since it is smaller than the sum of its proper divisors (456322170576).

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

213323300100 is a wasteful number, since it uses less digits than its factorization.

213323300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352886 (or 352876 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213323300100 its reverse (1003323312), we get a palindrome (214326623412).

The spelling of 213323300100 in words is "two hundred thirteen billion, three hundred twenty-three million, three hundred thousand, one hundred".