103313303121300 has 144 divisors (see below), whose sum is σ = 302258266232832. Its totient is φ = 27243208256000.

The previous prime is 103313303121289. The next prime is 103313303121319. The reversal of 103313303121300 is 3121303313301.

103313303121300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22010029 + ... + 26288171.

It is an arithmetic number, because the mean of its divisors is an integer number (2099015737728).

Almost surely, 2^{103313303121300} is an apocalyptic number.

103313303121300 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 103313303121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151129133116416).

103313303121300 is an abundant number, since it is smaller than the sum of its proper divisors (198944963111532).

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

103313303121300 is a wasteful number, since it uses less digits than its factorization.

103313303121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279058 (or 4279051 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 103313303121300 its reverse (3121303313301), we get a palindrome (106434606434601).

The spelling of 103313303121300 in words is "one hundred three trillion, three hundred thirteen billion, three hundred three million, one hundred twenty-one thousand, three hundred".