213130440 has 112 divisors (see below), whose sum is σ = 719084700. Its totient is φ = 56827008.

The previous prime is 213130439. The next prime is 213130441. The reversal of 213130440 is 44031312.

213130440 is a `hidden beast` number, since 213 + 13 + 0 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (213130439) and next prime (213130441).

It can be written as a sum of positive squares in 2 ways, for example, as 211004676 + 2125764 = 14526^2 + 1458^2 .

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 (213130441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25506 + ... + 32814.

Almost surely, 2^213130440 is an apocalyptic number.

213130440 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 213130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359542350).

213130440 is an abundant number, since it is smaller than the sum of its proper divisors (505954260).

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

213130440 is an equidigital number, since it uses as much as digits as its factorization.

213130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213130440 is about 14598.9876361342. The cubic root of 213130440 is about 597.3311463014.

Adding to 213130440 its reverse (44031312), we get a palindrome (257161752).

The spelling of 213130440 in words is "two hundred thirteen million, one hundred thirty thousand, four hundred forty".