213100580 has 96 divisors (see below), whose sum is σ = 587381760. Its totient is φ = 62916480.

The previous prime is 213100553. The next prime is 213100583. The reversal of 213100580 is 85001312.

213100580 = T₃₂₅ + T₃₂₆ + ... + T₁₀₉₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213100583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25619 + ... + 32901.

It is an arithmetic number, because the mean of its divisors is an integer number (6118560).

Almost surely, 2^213100580 is an apocalyptic number.

213100580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213100580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293690880).

213100580 is an abundant number, since it is smaller than the sum of its proper divisors (374281180).

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

213100580 is a wasteful number, since it uses less digits than its factorization.

213100580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 213100580 is about 14597.9649266602. The cubic root of 213100580 is about 597.3032492367.

Adding to 213100580 its reverse (85001312), we get a palindrome (298101892).

The spelling of 213100580 in words is "two hundred thirteen million, one hundred thousand, five hundred eighty".