13120113323040 has 192 divisors, whose sum is σ = 43519138790400. Its totient is φ = 3313365986304.

The previous prime is 13120113323011. The next prime is 13120113323063. The reversal of 13120113323040 is 4032331102131.

13120113323040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13120113323040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13120113323040.

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, 25306741 + ... + 25819979.

It is an arithmetic number, because the mean of its divisors is an integer number (226662181200).

Almost surely, 2^{13120113323040} is an apocalyptic number.

13120113323040 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 13120113323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759569395200).

13120113323040 is an abundant number, since it is smaller than the sum of its proper divisors (30399025467360).

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

13120113323040 is a wasteful number, since it uses less digits than its factorization.

13120113323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516079 (or 516071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13120113323040 its reverse (4032331102131), we get a palindrome (17152444425171).

The spelling of 13120113323040 in words is "thirteen trillion, one hundred twenty billion, one hundred thirteen million, three hundred twenty-three thousand, forty".