213320040 has 64 divisors (see below), whose sum is σ = 643248000. Its totient is φ = 56593152.

The previous prime is 213320039. The next prime is 213320047. The reversal of 213320040 is 40023312.

213320040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213320047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19414 + ... + 28346.

It is an arithmetic number, because the mean of its divisors is an integer number (10050750).

Almost surely, 2^213320040 is an apocalyptic number.

213320040 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 213320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321624000).

213320040 is an abundant number, since it is smaller than the sum of its proper divisors (429927960).

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

213320040 is a wasteful number, since it uses less digits than its factorization.

213320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 213320040 is about 14605.4797935569. The cubic root of 213320040 is about 597.5082216150.

Adding to 213320040 its reverse (40023312), we get a palindrome (253343352).

The spelling of 213320040 in words is "two hundred thirteen million, three hundred twenty thousand, forty".