13223130103040 has 288 divisors, whose sum is σ = 37820905057152. Its totient is φ = 4365766656000.

The previous prime is 13223130102943. The next prime is 13223130103133. The reversal of 13223130103040 is 4030103132231.

It is a junction number, because it is equal to n+sod(n) for n = 13223130102997 and 13223130103015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10573295 + ... + 11757585.

It is an arithmetic number, because the mean of its divisors is an integer number (131322587004).

Almost surely, 2^{13223130103040} is an apocalyptic number.

13223130103040 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 13223130103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18910452528576).

13223130103040 is an abundant number, since it is smaller than the sum of its proper divisors (24597774954112).

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

13223130103040 is a wasteful number, since it uses less digits than its factorization.

13223130103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184397 (or 1184383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13223130103040 its reverse (4030103132231), we get a palindrome (17253233235271).

The spelling of 13223130103040 in words is "thirteen trillion, two hundred twenty-three billion, one hundred thirty million, one hundred three thousand, forty".