103313000000 has 196 divisors, whose sum is σ = 292890000960. Its totient is φ = 35419200000.

The previous prime is 103312999939. The next prime is 103313000017. The reversal of 103313000000 is 313301.

103313000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6992621 + ... + 7007379.

Almost surely, 2^103313000000 is an apocalyptic number.

103313000000 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 103313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146445000480).

103313000000 is an abundant number, since it is smaller than the sum of its proper divisors (189577000960).

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

103313000000 is an frugal number, since it uses more digits than its factorization.

103313000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14773 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 103313000000 its reverse (313301), we get a palindrome (103313313301).

The spelling of 103313000000 in words is "one hundred three billion, three hundred thirteen million", and thus it is an aban number.