10413223220 has 96 divisors (see below), whose sum is σ = 23390640000. Its totient is φ = 3882816000.

The previous prime is 10413223213. The next prime is 10413223229. The reversal of 10413223220 is 2232231401.

10413223220 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 10413223192 and 10413223201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413223229) 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, 6946031 + ... + 6947529.

It is an arithmetic number, because the mean of its divisors is an integer number (243652500).

Almost surely, 2^10413223220 is an apocalyptic number.

10413223220 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 10413223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320000).

10413223220 is an abundant number, since it is smaller than the sum of its proper divisors (12977416780).

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

10413223220 is a wasteful number, since it uses less digits than its factorization.

10413223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10413223220 its reverse (2232231401), we get a palindrome (12645454621).

The spelling of 10413223220 in words is "ten billion, four hundred thirteen million, two hundred twenty-three thousand, two hundred twenty".