103313333120100 has 144 divisors (see below), whose sum is σ = 311926919982720. Its totient is φ = 26351500032000.

The previous prime is 103313333120083. The next prime is 103313333120141. The reversal of 103313333120100 is 1021333313301.

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, 218694150 + ... + 219166050.

Almost surely, 2^{103313333120100} is an apocalyptic number.

103313333120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313333120100 is an abundant number, since it is smaller than the sum of its proper divisors (208613586862620).

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

103313333120100 is a wasteful number, since it uses less digits than its factorization.

103313333120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503670 (or 503663 counting only the distinct ones).

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

Adding to 103313333120100 its reverse (1021333313301), we get a palindrome (104334666433401).

The spelling of 103313333120100 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty-three million, one hundred twenty thousand, one hundred".