213201040 has 80 divisors (see below), whose sum is σ = 552308400. Its totient is φ = 75995136.

The previous prime is 213201017. The next prime is 213201041. The reversal of 213201040 is 40102312.

It can be written as a sum of positive squares in 8 ways, for example, as 22429696 + 190771344 = 4736^2 + 13812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 213201040.

It is not an unprimeable number, because it can be changed into a prime (213201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26626 + ... + 33694.

It is an arithmetic number, because the mean of its divisors is an integer number (6903855).

Almost surely, 2^213201040 is an apocalyptic number.

213201040 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 213201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276154200).

213201040 is an abundant number, since it is smaller than the sum of its proper divisors (339107360).

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

213201040 is a wasteful number, since it uses less digits than its factorization.

213201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 213201040 is about 14601.4054118088. The cubic root of 213201040 is about 597.3970948403.

Adding to 213201040 its reverse (40102312), we get a palindrome (253303352).

The spelling of 213201040 in words is "two hundred thirteen million, two hundred one thousand, forty".