103313001000000 has 1568 divisors, whose sum is σ = 380842725150720. Its totient is φ = 24508800000000.

The previous prime is 103313000999987. The next prime is 103313001000023. The reversal of 103313001000000 is 100313301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103313001000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 463286999889 + ... + 463287000111.

It is an arithmetic number, because the mean of its divisors is an integer number (242884391040).

Almost surely, 2^{103313001000000} is an apocalyptic number.

103313001000000 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 103313001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190421362575360).

103313001000000 is an abundant number, since it is smaller than the sum of its proper divisors (277529724150720).

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

103313001000000 is a wasteful number, since it uses less digits than its factorization.

103313001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 484 counting only the distinct ones).

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

Adding to 103313001000000 its reverse (100313301), we get a palindrome (103313101313301).

The spelling of 103313001000000 in words is "one hundred three trillion, three hundred thirteen billion, one million", and thus it is an aban number.