10100113320 has 128 divisors (see below), whose sum is σ = 33548567040. Its totient is φ = 2411946240.

The previous prime is 10100113319. The next prime is 10100113337. The reversal of 10100113320 is 2331100101.

10100113320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100113296 and 10100113305.

It is an unprimeable number.

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, 31339 + ... + 145541.

It is an arithmetic number, because the mean of its divisors is an integer number (262098180).

Almost surely, 2^10100113320 is an apocalyptic number.

10100113320 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 10100113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16774283520).

10100113320 is an abundant number, since it is smaller than the sum of its proper divisors (23448453720).

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

10100113320 is a wasteful number, since it uses less digits than its factorization.

10100113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114295 (or 114291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10100113320 its reverse (2331100101), we get a palindrome (12431213421).

The spelling of 10100113320 in words is "ten billion, one hundred million, one hundred thirteen thousand, three hundred twenty".