213100880 has 20 divisors (see below), whose sum is σ = 495459732. Its totient is φ = 85240320.

The previous prime is 213100859. The next prime is 213100889. The reversal of 213100880 is 88001312.

It can be written as a sum of positive squares in 2 ways, for example, as 164044864 + 49056016 = 12808^2 + 7004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213100889) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1331801 + ... + 1331960.

Almost surely, 2^213100880 is an apocalyptic number.

213100880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100880 is an abundant number, since it is smaller than the sum of its proper divisors (282358852).

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

213100880 is a wasteful number, since it uses less digits than its factorization.

213100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663774 (or 2663768 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 213100880 is about 14597.9752020614. The cubic root of 213100880 is about 597.3035295282.

The spelling of 213100880 in words is "two hundred thirteen million, one hundred thousand, eight hundred eighty".