100013002000 has 160 divisors (see below), whose sum is σ = 244790582400. Its totient is φ = 39518784000.

The previous prime is 100013001983. The next prime is 100013002007. The reversal of 100013002000 is 200310001.

It is not an unprimeable number, because it can be changed into a prime (100013002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63661215 + ... + 63662785.

It is an arithmetic number, because the mean of its divisors is an integer number (1529941140).

Almost surely, 2^100013002000 is an apocalyptic number.

100013002000 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 100013002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122395291200).

100013002000 is an abundant number, since it is smaller than the sum of its proper divisors (144777580400).

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

100013002000 is a wasteful number, since it uses less digits than its factorization.

100013002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 100013002000 its reverse (200310001), we get a palindrome (100213312001).

The spelling of 100013002000 in words is "one hundred billion, thirteen million, two thousand".