103313323103100 has 144 divisors (see below), whose sum is σ = 326102490604800. Its totient is φ = 25045033932800.

The previous prime is 103313323103063. The next prime is 103313323103131. The reversal of 103313323103100 is 1301323313301.

It is a super-2 number, since 2×103313323103100² (a number of 29 digits) contains 22 as substring.

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, 140685676 + ... + 141418124.

It is an arithmetic number, because the mean of its divisors is an integer number (2264600629200).

Almost surely, 2^{103313323103100} is an apocalyptic number.

103313323103100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313323103100 is an abundant number, since it is smaller than the sum of its proper divisors (222789167501700).

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

103313323103100 is a wasteful number, since it uses less digits than its factorization.

103313323103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775220 (or 775213 counting only the distinct ones).

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

Adding to 103313323103100 its reverse (1301323313301), we get a palindrome (104614646416401).

The spelling of 103313323103100 in words is "one hundred three trillion, three hundred thirteen billion, three hundred twenty-three million, one hundred three thousand, one hundred".