213132040 has 64 divisors (see below), whose sum is σ = 524646720. Its totient is φ = 77280000.

The previous prime is 213132001. The next prime is 213132047. The reversal of 213132040 is 40231312.

It is a happy number.

213132040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213132047) 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, 303690 + ... + 304390.

It is an arithmetic number, because the mean of its divisors is an integer number (8197605).

Almost surely, 2^213132040 is an apocalyptic number.

213132040 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 213132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262323360).

213132040 is an abundant number, since it is smaller than the sum of its proper divisors (311514680).

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

213132040 is a wasteful number, since it uses less digits than its factorization.

213132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

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

The square root of 213132040 is about 14599.0424343516. The cubic root of 213132040 is about 597.3326410472.

Adding to 213132040 its reverse (40231312), we get a palindrome (253363352).

The spelling of 213132040 in words is "two hundred thirteen million, one hundred thirty-two thousand, forty".