13000020110440 has 768 divisors, whose sum is σ = 36875349688320. Its totient is φ = 4073290260480.

The previous prime is 13000020110401. The next prime is 13000020110453. The reversal of 13000020110440 is 4401102000031.

13000020110440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11959539577 + ... + 11959540663.

It is an arithmetic number, because the mean of its divisors is an integer number (48014778240).

Almost surely, 2^{13000020110440} is an apocalyptic number.

13000020110440 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 13000020110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437674844160).

13000020110440 is an abundant number, since it is smaller than the sum of its proper divisors (23875329577880).

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

13000020110440 is a wasteful number, since it uses less digits than its factorization.

13000020110440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13000020110440 its reverse (4401102000031), we get a palindrome (17401122110471).

The spelling of 13000020110440 in words is "thirteen trillion, twenty million, one hundred ten thousand, four hundred forty".