100003313130 has 128 divisors (see below), whose sum is σ = 288947589120. Its totient is φ = 21638638080.

The previous prime is 100003313101. The next prime is 100003313153. The reversal of 100003313130 is 31313300001.

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 63 ways as a sum of consecutive naturals, for example, 5764870 + ... + 5782190.

It is an arithmetic number, because the mean of its divisors is an integer number (2257403040).

Almost surely, 2^100003313130 is an apocalyptic number.

100003313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100003313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144473794560).

100003313130 is an abundant number, since it is smaller than the sum of its proper divisors (188944275990).

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

100003313130 is a wasteful number, since it uses less digits than its factorization.

100003313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804.

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

Adding to 100003313130 its reverse (31313300001), we get a palindrome (131316613131).

The spelling of 100003313130 in words is "one hundred billion, three million, three hundred thirteen thousand, one hundred thirty".