103323031312100 has 144 divisors (see below), whose sum is σ = 239037491871360. Its totient is φ = 38630177126400.

The previous prime is 103323031312073. The next prime is 103323031312157. The reversal of 103323031312100 is 1213130323301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314681015 + ... + 315009185.

It is an arithmetic number, because the mean of its divisors is an integer number (1659982582440).

Almost surely, 2^{103323031312100} is an apocalyptic number.

103323031312100 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 103323031312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119518745935680).

103323031312100 is an abundant number, since it is smaller than the sum of its proper divisors (135714460559260).

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

103323031312100 is a wasteful number, since it uses less digits than its factorization.

103323031312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329478 (or 329471 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103323031312100 its reverse (1213130323301), we get a palindrome (104536161635401).

The spelling of 103323031312100 in words is "one hundred three trillion, three hundred twenty-three billion, thirty-one million, three hundred twelve thousand, one hundred".