13120404024320 has 176 divisors, whose sum is σ = 31556627984640. Its totient is φ = 5234335727616.

The previous prime is 13120404024293. The next prime is 13120404024419. The reversal of 13120404024320 is 2342040402131.

It is a super-2 number, since 2×13120404024320² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13120404024320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4890197699 + ... + 4890200381.

It is an arithmetic number, because the mean of its divisors is an integer number (179299022640).

Almost surely, 2^{13120404024320} is an apocalyptic number.

13120404024320 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 13120404024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15778313992320).

13120404024320 is an abundant number, since it is smaller than the sum of its proper divisors (18436223960320).

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

13120404024320 is a wasteful number, since it uses less digits than its factorization.

13120404024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13120404024320 its reverse (2342040402131), we get a palindrome (15462444426451).

The spelling of 13120404024320 in words is "thirteen trillion, one hundred twenty billion, four hundred four million, twenty-four thousand, three hundred twenty".