103313120000 has 180 divisors, whose sum is σ = 260239259280. Its totient is φ = 40917504000.

The previous prime is 103313119999. The next prime is 103313120017. The reversal of 103313120000 is 21313301.

103313120000 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 19 ways as a sum of consecutive naturals, for example, 16476866 + ... + 16483134.

Almost surely, 2^103313120000 is an apocalyptic number.

103313120000 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 103313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130119629640).

103313120000 is an abundant number, since it is smaller than the sum of its proper divisors (156926139280).

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

103313120000 is an frugal number, since it uses more digits than its factorization.

103313120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103313120000 its reverse (21313301), we get a palindrome (103334433301).

The spelling of 103313120000 in words is "one hundred three billion, three hundred thirteen million, one hundred twenty thousand".