213031104 has 112 divisors (see below), whose sum is σ = 662269440. Its totient is φ = 59581440.

The previous prime is 213031069. The next prime is 213031153. The reversal of 213031104 is 401130312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23577 + ... + 31335.

It is an arithmetic number, because the mean of its divisors is an integer number (5913120).

Almost surely, 2^213031104 is an apocalyptic number.

213031104 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 213031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331134720).

213031104 is an abundant number, since it is smaller than the sum of its proper divisors (449238336).

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

213031104 is a wasteful number, since it uses less digits than its factorization.

213031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213031104 is about 14595.5850859087. The cubic root of 213031104 is about 597.2383303594.

Adding to 213031104 its reverse (401130312), we get a palindrome (614161416).

The spelling of 213031104 in words is "two hundred thirteen million, thirty-one thousand, one hundred four".