13013103220 has 96 divisors (see below), whose sum is σ = 31202605728. Its totient is φ = 4516134912.

The previous prime is 13013103199. The next prime is 13013103223. The reversal of 13013103220 is 2230131031.

It can be written as a sum of positive squares in 16 ways, for example, as 252237924 + 12760865296 = 15882^2 + 112964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13013103194 and 13013103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013103223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4405264 + ... + 4408216.

It is an arithmetic number, because the mean of its divisors is an integer number (325027143).

Almost surely, 2^13013103220 is an apocalyptic number.

13013103220 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 13013103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15601302864).

13013103220 is an abundant number, since it is smaller than the sum of its proper divisors (18189502508).

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

13013103220 is a wasteful number, since it uses less digits than its factorization.

13013103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13013103220 its reverse (2230131031), we get a palindrome (15243234251).

The spelling of 13013103220 in words is "thirteen billion, thirteen million, one hundred three thousand, two hundred twenty".