103330213122300 has 72 divisors (see below), whose sum is σ = 303430970174976. Its totient is φ = 27143458964160.

The previous prime is 103330213122299. The next prime is 103330213122349. The reversal of 103330213122300 is 3221312033301.

It is a super-3 number, since 3×103330213122300³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2570383212 + ... + 2570423411.

It is an arithmetic number, because the mean of its divisors is an integer number (4214319030208).

Almost surely, 2^{103330213122300} is an apocalyptic number.

103330213122300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103330213122300 is an abundant number, since it is smaller than the sum of its proper divisors (200100757052676).

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

103330213122300 is a wasteful number, since it uses less digits than its factorization.

103330213122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140806707 (or 5140806700 counting only the distinct ones).

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

Adding to 103330213122300 its reverse (3221312033301), we get a palindrome (106551525155601).

The spelling of 103330213122300 in words is "one hundred three trillion, three hundred thirty billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred".