213130302 has 96 divisors (see below), whose sum is σ = 550592640. Its totient is φ = 54371520.

The previous prime is 213130261. The next prime is 213130303. The reversal of 213130302 is 203031312.

213130302 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213130302² = 90849051261222408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190248 + ... + 191364.

It is an arithmetic number, because the mean of its divisors is an integer number (5735340).

Almost surely, 2^213130302 is an apocalyptic number.

213130302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275296320).

213130302 is an abundant number, since it is smaller than the sum of its proper divisors (337462338).

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

213130302 is a wasteful number, since it uses less digits than its factorization.

213130302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213130302 is about 14598.9829097783. The cubic root of 213130302 is about 597.3310173793.

Adding to 213130302 its reverse (203031312), we get a palindrome (416161614).

The spelling of 213130302 in words is "two hundred thirteen million, one hundred thirty thousand, three hundred two".