100103313000 has 64 divisors (see below), whose sum is σ = 312322345920. Its totient is φ = 26694216000.

The previous prime is 100103312993. The next prime is 100103313019. The reversal of 100103313000 is 313301001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16680886 + ... + 16686885.

It is an arithmetic number, because the mean of its divisors is an integer number (4880036655).

Almost surely, 2^100103313000 is an apocalyptic number.

100103313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103313000 is an abundant number, since it is smaller than the sum of its proper divisors (212219032920).

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

100103313000 is a wasteful number, since it uses less digits than its factorization.

100103313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33367795 (or 33367781 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100103313000 its reverse (313301001), we get a palindrome (100416614001).

The spelling of 100103313000 in words is "one hundred billion, one hundred three million, three hundred thirteen thousand".