213311321100 has 360 divisors, whose sum is σ = 702823849728. Its totient is φ = 55956873600.

The previous prime is 213311321099. The next prime is 213311321131. The reversal of 213311321100 is 1123113312.

213311321100 is a `hidden beast` number, since 2 + 1 + 331 + 1 + 321 + 10 + 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 119 ways as a sum of consecutive naturals, for example, 139327335 + ... + 139328865.

Almost surely, 2^213311321100 is an apocalyptic number.

213311321100 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 213311321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351411924864).

213311321100 is an abundant number, since it is smaller than the sum of its proper divisors (489512528628).

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

213311321100 is a wasteful number, since it uses less digits than its factorization.

213311321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213311321100 its reverse (1123113312), we get a palindrome (214434434412).

It can be divided in two parts, 21331 and 1321100, that added together give a palindrome (1342431).

The spelling of 213311321100 in words is "two hundred thirteen billion, three hundred eleven million, three hundred twenty-one thousand, one hundred".