213100320 has 96 divisors (see below), whose sum is σ = 676589760. Its totient is φ = 56376320.

The previous prime is 213100273. The next prime is 213100331. The reversal of 213100320 is 23001312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 213100296 and 213100305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61186 + ... + 64574.

It is an arithmetic number, because the mean of its divisors is an integer number (7047810).

Almost surely, 2^213100320 is an apocalyptic number.

213100320 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 213100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338294880).

213100320 is an abundant number, since it is smaller than the sum of its proper divisors (463489440).

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

213100320 is a wasteful number, since it uses less digits than its factorization.

213100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213100320 is about 14597.9560213065. The cubic root of 213100320 is about 597.3030063171.

Adding to 213100320 its reverse (23001312), we get a palindrome (236101632).

The spelling of 213100320 in words is "two hundred thirteen million, one hundred thousand, three hundred twenty".