100313020032 has 128 divisors (see below), whose sum is σ = 275241369600. Its totient is φ = 32336747520.

The previous prime is 100313020021. The next prime is 100313020037. The reversal of 100313020032 is 230020313001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 100313019993 and 100313020020.

It is not an unprimeable number, because it can be changed into a prime (100313020037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34270153 + ... + 34273079.

It is an arithmetic number, because the mean of its divisors is an integer number (2150323200).

Almost surely, 2^100313020032 is an apocalyptic number.

100313020032 is a gapful number since it is divisible by the number (12) 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 100313020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137620684800).

100313020032 is an abundant number, since it is smaller than the sum of its proper divisors (174928349568).

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

100313020032 is a wasteful number, since it uses less digits than its factorization.

100313020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100313020032 its reverse (230020313001), we get a palindrome (330333333033).

The spelling of 100313020032 in words is "one hundred billion, three hundred thirteen million, twenty thousand, thirty-two".