213503112 has 96 divisors (see below), whose sum is σ = 607089600. Its totient is φ = 67655808.

The previous prime is 213503083. The next prime is 213503117. The reversal of 213503112 is 211305312.

213503112 is a `hidden beast` number, since 2 + 1 + 350 + 311 + 2 = 666.

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 (213503117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378943 + ... + 379505.

It is an arithmetic number, because the mean of its divisors is an integer number (6323850).

Almost surely, 2^213503112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213503112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303544800).

213503112 is an abundant number, since it is smaller than the sum of its proper divisors (393586488).

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

213503112 is a wasteful number, since it uses less digits than its factorization.

213503112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213503112 is about 14611.7456862621. The cubic root of 213503112 is about 597.6791006191.

Adding to 213503112 its reverse (211305312), we get a palindrome (424808424).

The spelling of 213503112 in words is "two hundred thirteen million, five hundred three thousand, one hundred twelve".