100313130300 has 144 divisors (see below), whose sum is σ = 294860294400. Its totient is φ = 26325066240.

The previous prime is 100313130293. The next prime is 100313130317. The reversal of 100313130300 is 3031313001.

It is a super-2 number, since 2×100313130300² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100313130300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29082976 + ... + 29086424.

Almost surely, 2^100313130300 is an apocalyptic number.

100313130300 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 100313130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147430147200).

100313130300 is an abundant number, since it is smaller than the sum of its proper divisors (194547164100).

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

100313130300 is a wasteful number, since it uses less digits than its factorization.

100313130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 100313130300 its reverse (3031313001), we get a palindrome (103344443301).

The spelling of 100313130300 in words is "one hundred billion, three hundred thirteen million, one hundred thirty thousand, three hundred".