103112313000 has 512 divisors, whose sum is σ = 344184422400. Its totient is φ = 25656960000.

The previous prime is 103112312999. The next prime is 103112313011. The reversal of 103112313000 is 313211301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 617438917 + ... + 617439083.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2^103112313000 is an apocalyptic number.

103112313000 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 103112313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172092211200).

103112313000 is an abundant number, since it is smaller than the sum of its proper divisors (241072109400).

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

103112313000 is a wasteful number, since it uses less digits than its factorization.

103112313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103112313000 its reverse (313211301), we get a palindrome (103425524301).

The spelling of 103112313000 in words is "one hundred three billion, one hundred twelve million, three hundred thirteen thousand".