103303313213100 has 1728 divisors, whose sum is σ = 430759429632000. Its totient is φ = 18737236224000.

The previous prime is 103303313213083. The next prime is 103303313213207. The reversal of 103303313213100 is 1312313303301.

It is a super-2 number, since 2×103303313213100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 25202074851 + ... + 25202078949.

Almost surely, 2^{103303313213100} is an apocalyptic number.

103303313213100 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 103303313213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215379714816000).

103303313213100 is an abundant number, since it is smaller than the sum of its proper divisors (327456116418900).

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

103303313213100 is a wasteful number, since it uses less digits than its factorization.

103303313213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4790 counting only the distinct ones).

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

Adding to 103303313213100 its reverse (1312313303301), we get a palindrome (104615626516401).

The spelling of 103303313213100 in words is "one hundred three trillion, three hundred three billion, three hundred thirteen million, two hundred thirteen thousand, one hundred".