103314000000 has 448 divisors, whose sum is σ = 349504901280. Its totient is φ = 27033600000.

The previous prime is 103313999977. The next prime is 103314000133. The reversal of 103314000000 is 413301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 103314000000.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 401999872 + ... + 402000128.

Almost surely, 2^103314000000 is an apocalyptic number.

103314000000 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 103314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174752450640).

103314000000 is an abundant number, since it is smaller than the sum of its proper divisors (246190901280).

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

103314000000 is an frugal number, since it uses more digits than its factorization.

103314000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103314000000 its reverse (413301), we get a palindrome (103314413301).

The spelling of 103314000000 in words is "one hundred three billion, three hundred fourteen million", and thus it is an aban number.