103314000000000 has 880 divisors, whose sum is σ = 350708635962432. Its totient is φ = 27033600000000.

The previous prime is 103313999999993. The next prime is 103314000000007. The reversal of 103314000000000 is 413301.

It is an interprime number because it is at equal distance from previous prime (103313999999993) and next prime (103314000000007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103314000000007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 401999999872 + ... + 402000000128.

Almost surely, 2^{103314000000000} is an apocalyptic number.

103314000000000 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 103314000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175354317981216).

103314000000000 is an abundant number, since it is smaller than the sum of its proper divisors (247394635962432).

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

103314000000000 is an frugal number, since it uses more digits than its factorization.

103314000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 334 counting only the distinct ones).

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

Adding to 103314000000000 its reverse (413301), we get a palindrome (103314000413301).

The spelling of 103314000000000 in words is "one hundred three trillion, three hundred fourteen billion", and thus it is an aban number.