213211104 has 96 divisors (see below), whose sum is σ = 593961984. Its totient is φ = 66823680.

The previous prime is 213211099. The next prime is 213211139. The reversal of 213211104 is 401112312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133897 + ... + 135479.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^213211104 is an apocalyptic number.

213211104 is a gapful number since it is divisible by the number (24) 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 213211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

213211104 is an abundant number, since it is smaller than the sum of its proper divisors (380750880).

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

213211104 is a wasteful number, since it uses less digits than its factorization.

213211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213211104 is about 14601.7500321023. The cubic root of 213211104 is about 597.4064945908.

Adding to 213211104 its reverse (401112312), we get a palindrome (614323416).

The spelling of 213211104 in words is "two hundred thirteen million, two hundred eleven thousand, one hundred four".