103313210100100 has 576 divisors, whose sum is σ = 302209857331200. Its totient is φ = 29606217984000.

The previous prime is 103313210100041. The next prime is 103313210100157. The reversal of 103313210100100 is 1001012313301.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39417476790 + ... + 39417479410.

It is an arithmetic number, because the mean of its divisors is an integer number (524669891200).

Almost surely, 2^{103313210100100} is an apocalyptic number.

103313210100100 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 103313210100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151104928665600).

103313210100100 is an abundant number, since it is smaller than the sum of its proper divisors (198896647231100).

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

103313210100100 is a wasteful number, since it uses less digits than its factorization.

103313210100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103313210100100 its reverse (1001012313301), we get a palindrome (104314222413401).

The spelling of 103313210100100 in words is "one hundred three trillion, three hundred thirteen billion, two hundred ten million, one hundred thousand, one hundred".