13120414413240 has 128 divisors (see below), whose sum is σ = 40368226348800. Its totient is φ = 3409466311680.

The previous prime is 13120414413181. The next prime is 13120414413269. The reversal of 13120414413240 is 4231441402131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13120414413198 and 13120414413207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2674039 + ... + 5778521.

It is an arithmetic number, because the mean of its divisors is an integer number (315376768350).

Almost surely, 2^{13120414413240} is an apocalyptic number.

13120414413240 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 13120414413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184113174400).

13120414413240 is an abundant number, since it is smaller than the sum of its proper divisors (27247811935560).

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

13120414413240 is a wasteful number, since it uses less digits than its factorization.

13120414413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105397 (or 3105393 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13120414413240 its reverse (4231441402131), we get a palindrome (17351855815371).

The spelling of 13120414413240 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred thirteen thousand, two hundred forty".