103314013220 has 144 divisors (see below), whose sum is σ = 247106764800. Its totient is φ = 36213408000.

The previous prime is 103314013219. The next prime is 103314013241. The reversal of 103314013220 is 22310413301.

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 = 103314013192 and 103314013201.

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, 80776541 + ... + 80777819.

It is an arithmetic number, because the mean of its divisors is an integer number (1716019200).

Almost surely, 2^103314013220 is an apocalyptic number.

103314013220 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 103314013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123553382400).

103314013220 is an abundant number, since it is smaller than the sum of its proper divisors (143792751580).

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

103314013220 is a wasteful number, since it uses less digits than its factorization.

103314013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103314013220 its reverse (22310413301), we get a palindrome (125624426521).

The spelling of 103314013220 in words is "one hundred three billion, three hundred fourteen million, thirteen thousand, two hundred twenty".