213501300 has 72 divisors (see below), whose sum is σ = 654083136. Its totient is φ = 53583360.

The previous prime is 213501269. The next prime is 213501349. The reversal of 213501300 is 3105312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213501300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15832 + ... + 26031.

It is an arithmetic number, because the mean of its divisors is an integer number (9084488).

Almost surely, 2^213501300 is an apocalyptic number.

213501300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213501300 is an abundant number, since it is smaller than the sum of its proper divisors (440581836).

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

213501300 is a wasteful number, since it uses less digits than its factorization.

213501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41897 (or 41890 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 213501300 is about 14611.6836812189. The cubic root of 213501300 is about 597.6774097810.

Adding to 213501300 its reverse (3105312), we get a palindrome (216606612).

The spelling of 213501300 in words is "two hundred thirteen million, five hundred one thousand, three hundred".