103013303220 has 144 divisors (see below), whose sum is σ = 317017056720. Its totient is φ = 27071428608.

The previous prime is 103013303213. The next prime is 103013303251. The reversal of 103013303220 is 22303310301.

103013303220 is a `hidden beast` number, since 1 + 0 + 301 + 330 + 32 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2369547684 + 100643755536 = 48678^2 + 317244^2 .

It is a super-2 number, since 2×103013303220² (a number of 23 digits) contains 22 as substring.

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 = 103013303193 and 103013303202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20982126 + ... + 20987034.

Almost surely, 2^103013303220 is an apocalyptic number.

103013303220 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 103013303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158508528360).

103013303220 is an abundant number, since it is smaller than the sum of its proper divisors (214003753500).

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

103013303220 is a wasteful number, since it uses less digits than its factorization.

103013303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103013303220 its reverse (22303310301), we get a palindrome (125316613521).

The spelling of 103013303220 in words is "one hundred three billion, thirteen million, three hundred three thousand, two hundred twenty".