213013024 has 48 divisors (see below), whose sum is σ = 489500928. Its totient is φ = 89344512.

The previous prime is 213012991. The next prime is 213013049. The reversal of 213013024 is 420310312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213012989 and 213013007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 20644.

It is an arithmetic number, because the mean of its divisors is an integer number (10197936).

Almost surely, 2^213013024 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 213013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244750464).

213013024 is an abundant number, since it is smaller than the sum of its proper divisors (276487904).

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

213013024 is a wasteful number, since it uses less digits than its factorization.

213013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20297 (or 20289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213013024 is about 14594.9657073938. The cubic root of 213013024 is about 597.2214339621.

Adding to 213013024 its reverse (420310312), we get a palindrome (633323336).

The spelling of 213013024 in words is "two hundred thirteen million, thirteen thousand, twenty-four".