103311022320 has 560 divisors, whose sum is σ = 416025774432. Its totient is φ = 23569367040.

The previous prime is 103311022277. The next prime is 103311022327. The reversal of 103311022320 is 23220113301.

103311022320 is a `hidden beast` number, since 1 + 0 + 331 + 10 + 2 + 2 + 320 = 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 = 103311022293 and 103311022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311022327) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10901104 + ... + 10910576.

Almost surely, 2^103311022320 is an apocalyptic number.

103311022320 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 103311022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208012887216).

103311022320 is an abundant number, since it is smaller than the sum of its proper divisors (312714752112).

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

103311022320 is a wasteful number, since it uses less digits than its factorization.

103311022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9532 (or 9511 counting only the distinct ones).

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

Adding to 103311022320 its reverse (23220113301), we get a palindrome (126531135621).

The spelling of 103311022320 in words is "one hundred three billion, three hundred eleven million, twenty-two thousand, three hundred twenty".