10020411320 has 128 divisors (see below), whose sum is σ = 24377760000. Its totient is φ = 3693053952.

The previous prime is 10020411319. The next prime is 10020411343. The reversal of 10020411320 is 2311402001.

10020411320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10020411295 and 10020411304.

It is a congruent number.

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, 15205151 + ... + 15205809.

It is an arithmetic number, because the mean of its divisors is an integer number (190451250).

Almost surely, 2^10020411320 is an apocalyptic number.

10020411320 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 10020411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188880000).

10020411320 is an abundant number, since it is smaller than the sum of its proper divisors (14357348680).

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

10020411320 is a wasteful number, since it uses less digits than its factorization.

10020411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10020411320 its reverse (2311402001), we get a palindrome (12331813321).

The spelling of 10020411320 in words is "ten billion, twenty million, four hundred eleven thousand, three hundred twenty".