213130420 has 48 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 80153216.

The previous prime is 213130409. The next prime is 213130433. The reversal of 213130420 is 24031312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213130394 and 213130403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23214 + ... + 31066.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040).

Almost surely, 2^213130420 is an apocalyptic number.

213130420 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 213130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

213130420 is an abundant number, since it is smaller than the sum of its proper divisors (261879500).

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

213130420 is a wasteful number, since it uses less digits than its factorization.

213130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7942 counting only the distinct ones).

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

The square root of 213130420 is about 14598.9869511552. The cubic root of 213130420 is about 597.3311276171.

Adding to 213130420 its reverse (24031312), we get a palindrome (237161732).

The spelling of 213130420 in words is "two hundred thirteen million, one hundred thirty thousand, four hundred twenty".