100313313000 has 128 divisors (see below), whose sum is σ = 314552160000. Its totient is φ = 26615635200.

The previous prime is 100313312987. The next prime is 100313313041. The reversal of 100313313000 is 313313001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512986 + ... + 681014.

It is an arithmetic number, because the mean of its divisors is an integer number (2457438750).

Almost surely, 2^100313313000 is an apocalyptic number.

100313313000 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 100313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157276080000).

100313313000 is an abundant number, since it is smaller than the sum of its proper divisors (214238847000).

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

100313313000 is a wasteful number, since it uses less digits than its factorization.

100313313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168252 (or 168238 counting only the distinct ones).

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

Adding to 100313313000 its reverse (313313001), we get a palindrome (100626626001).

Subtracting from 100313313000 its reverse (313313001), we obtain a palindrome (99999999999).

The spelling of 100313313000 in words is "one hundred billion, three hundred thirteen million, three hundred thirteen thousand".