213300880 has 40 divisors (see below), whose sum is σ = 534075192. Its totient is φ = 78756864.

The previous prime is 213300877. The next prime is 213300883. The reversal of 213300880 is 88003312.

213300880 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 (213300877) and next prime (213300883).

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 210598144 = 1644^2 + 14512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (213300883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101509 + ... + 103588.

Almost surely, 2^213300880 is an apocalyptic number.

213300880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213300880 is an abundant number, since it is smaller than the sum of its proper divisors (320774312).

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

213300880 is a wasteful number, since it uses less digits than its factorization.

213300880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205123 (or 205117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 213300880 is about 14604.8238606291. The cubic root of 213300880 is about 597.4903320623.

The spelling of 213300880 in words is "two hundred thirteen million, three hundred thousand, eight hundred eighty".