103313210220 has 288 divisors, whose sum is σ = 381037063680. Its totient is φ = 22331566080.

The previous prime is 103313210167. The next prime is 103313210249. The reversal of 103313210220 is 22012313301.

103313210220 is a `hidden beast` number, since 10 + 331 + 321 + 0 + 2 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103313210193 and 103313210202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558769 + ... + 720311.

It is an arithmetic number, because the mean of its divisors is an integer number (1323045360).

Almost surely, 2^103313210220 is an apocalyptic number.

103313210220 is a gapful number since it is divisible by the number (10) 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 103313210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190518531840).

103313210220 is an abundant number, since it is smaller than the sum of its proper divisors (277723853460).

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

103313210220 is a wasteful number, since it uses less digits than its factorization.

103313210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161605 (or 161600 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103313210220 its reverse (22012313301), we get a palindrome (125325523521).

The spelling of 103313210220 in words is "one hundred three billion, three hundred thirteen million, two hundred ten thousand, two hundred twenty".