213101280 has 432 divisors, whose sum is σ = 892775520. Its totient is φ = 47029248.

The previous prime is 213101267. The next prime is 213101293. The reversal of 213101280 is 82101312.

213101280 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 (213101267) and next prime (213101293).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7348306 + ... + 7348334.

It is an arithmetic number, because the mean of its divisors is an integer number (2066610).

Almost surely, 2^213101280 is an apocalyptic number.

213101280 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 213101280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446387760).

213101280 is an abundant number, since it is smaller than the sum of its proper divisors (679674240).

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

213101280 is an frugal number, since it uses more digits than its factorization.

213101280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 213101280 is about 14597.9889025852. The cubic root of 213101280 is about 597.3039032499.

Adding to 213101280 its reverse (82101312), we get a palindrome (295202592).

The spelling of 213101280 in words is "two hundred thirteen million, one hundred one thousand, two hundred eighty".