213301003300220 has 144 divisors (see below), whose sum is σ = 497772233431200. Its totient is φ = 76142424499200.

The previous prime is 213301003300183. The next prime is 213301003300321. The reversal of 213301003300220 is 22003300103312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213301003300192 and 213301003300201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416421626 + ... + 416933534.

It is an arithmetic number, because the mean of its divisors is an integer number (3456751621050).

Almost surely, 2^{213301003300220} is an apocalyptic number.

213301003300220 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 213301003300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248886116715600).

213301003300220 is an abundant number, since it is smaller than the sum of its proper divisors (284471230130980).

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

213301003300220 is a wasteful number, since it uses less digits than its factorization.

213301003300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512560 (or 512497 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213301003300220 its reverse (22003300103312), we get a palindrome (235304303403532).

The spelling of 213301003300220 in words is "two hundred thirteen trillion, three hundred one billion, three million, three hundred thousand, two hundred twenty".