103311220320 has 288 divisors, whose sum is σ = 439542754560. Its totient is φ = 21467243520.

The previous prime is 103311220273. The next prime is 103311220379. The reversal of 103311220320 is 23022113301.

103311220320 is a `hidden beast` number, since 1 + 0 + 331 + 12 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 103311220293 and 103311220302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354990 + ... + 576749.

It is an arithmetic number, because the mean of its divisors is an integer number (1526190120).

Almost surely, 2^103311220320 is an apocalyptic number.

103311220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103311220320 is an abundant number, since it is smaller than the sum of its proper divisors (336231534240).

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

103311220320 is a wasteful number, since it uses less digits than its factorization.

103311220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931778 (or 931767 counting only the distinct ones).

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

Adding to 103311220320 its reverse (23022113301), we get a palindrome (126333333621).

The spelling of 103311220320 in words is "one hundred three billion, three hundred eleven million, two hundred twenty thousand, three hundred twenty".