20100113320 has 128 divisors (see below), whose sum is σ = 52632115200. Its totient is φ = 6766361856.

The previous prime is 20100113309. The next prime is 20100113321. The reversal of 20100113320 is 2331100102.

It is a self number, because there is not a number n which added to its sum of digits gives 20100113320.

It is not an unprimeable number, because it can be changed into a prime (20100113321) 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, 3878491 + ... + 3883669.

It is an arithmetic number, because the mean of its divisors is an integer number (411188400).

Almost surely, 2^20100113320 is an apocalyptic number.

20100113320 is a gapful number since it is divisible by the number (20) 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 20100113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26316057600).

20100113320 is an abundant number, since it is smaller than the sum of its proper divisors (32532001880).

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

20100113320 is a wasteful number, since it uses less digits than its factorization.

20100113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20100113320 its reverse (2331100102), we get a palindrome (22431213422).

The spelling of 20100113320 in words is "twenty billion, one hundred million, one hundred thirteen thousand, three hundred twenty".