213130100 has 36 divisors (see below), whose sum is σ = 464347884. Its totient is φ = 84910080.

The previous prime is 213130079. The next prime is 213130103. The reversal of 213130100 is 1031312.

213130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 320356 + 212809744 = 566^2 + 14588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21554 + ... + 29846.

Almost surely, 2^213130100 is an apocalyptic number.

213130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213130100 is an abundant number, since it is smaller than the sum of its proper divisors (251217784).

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

213130100 is a wasteful number, since it uses less digits than its factorization.

213130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 213130100 is about 14598.9759914865. The cubic root of 213130100 is about 597.3308286670.

Adding to 213130100 its reverse (1031312), we get a palindrome (214161412).

The spelling of 213130100 in words is "two hundred thirteen million, one hundred thirty thousand, one hundred".