103313123320 has 256 divisors, whose sum is σ = 263828275200. Its totient is φ = 36089141760.

The previous prime is 103313123317. The next prime is 103313123341. The reversal of 103313123320 is 23321313301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103313123291 and 103313123300.

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 63 ways as a sum of consecutive naturals, for example, 365063899 + ... + 365064181.

It is an arithmetic number, because the mean of its divisors is an integer number (1030579200).

Almost surely, 2^103313123320 is an apocalyptic number.

103313123320 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 103313123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131914137600).

103313123320 is an abundant number, since it is smaller than the sum of its proper divisors (160515151880).

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

103313123320 is a wasteful number, since it uses less digits than its factorization.

103313123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103313123320 its reverse (23321313301), we get a palindrome (126634436621).

The spelling of 103313123320 in words is "one hundred three billion, three hundred thirteen million, one hundred twenty-three thousand, three hundred twenty".