103323321201300 has 288 divisors, whose sum is σ = 314917725975552. Its totient is φ = 26104003537920.

The previous prime is 103323321201299. The next prime is 103323321201307. The reversal of 103323321201300 is 3102123323301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103323321201307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6428370064 + ... + 6428386136.

It is an arithmetic number, because the mean of its divisors is an integer number (1093464326304).

Almost surely, 2^{103323321201300} is an apocalyptic number.

103323321201300 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 103323321201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157458862987776).

103323321201300 is an abundant number, since it is smaller than the sum of its proper divisors (211594404774252).

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

103323321201300 is a wasteful number, since it uses less digits than its factorization.

103323321201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24927 (or 24920 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103323321201300 its reverse (3102123323301), we get a palindrome (106425444524601).

The spelling of 103323321201300 in words is "one hundred three trillion, three hundred twenty-three billion, three hundred twenty-one million, two hundred one thousand, three hundred".