103300313013000 has 512 divisors, whose sum is σ = 363963812659200. Its totient is φ = 27098260992000.

The previous prime is 103300313012977. The next prime is 103300313013091. The reversal of 103300313013000 is 310313003301.

103300313013000 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 0 + 31 + 301 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 754824580 + ... + 754961420.

It is an arithmetic number, because the mean of its divisors is an integer number (710866821600).

Almost surely, 2^{103300313013000} is an apocalyptic number.

103300313013000 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 103300313013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181981906329600).

103300313013000 is an abundant number, since it is smaller than the sum of its proper divisors (260663499646200).

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

103300313013000 is a wasteful number, since it uses less digits than its factorization.

103300313013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137327 (or 137307 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103300313013000 its reverse (310313003301), we get a palindrome (103610626016301).

The spelling of 103300313013000 in words is "one hundred three trillion, three hundred billion, three hundred thirteen million, thirteen thousand".