213531300 has 54 divisors (see below), whose sum is σ = 669304818. Its totient is φ = 56941440.

The previous prime is 213531299. The next prime is 213531301. The reversal of 213531300 is 3135312.

213531300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213531299) and next prime (213531301).

It can be written as a sum of positive squares in 3 ways, for example, as 13704804 + 199826496 = 3702^2 + 14136^2 .

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 (213531301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117729 + ... + 119528.

Almost surely, 2^213531300 is an apocalyptic number.

213531300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213531300 is an abundant number, since it is smaller than the sum of its proper divisors (455773518).

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

213531300 is a wasteful number, since it uses less digits than its factorization.

213531300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237277 (or 237267 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 213531300 is about 14612.7102209002. The cubic root of 213531300 is about 597.7054025575.

Adding to 213531300 its reverse (3135312), we get a palindrome (216666612).

The spelling of 213531300 in words is "two hundred thirteen million, five hundred thirty-one thousand, three hundred".