13020221121440 has 96 divisors (see below), whose sum is σ = 33185289344256. Its totient is φ = 4798926812160.

The previous prime is 13020221121421. The next prime is 13020221121469. The reversal of 13020221121440 is 4412112202031.

13020221121440 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 15 ways as a sum of consecutive naturals, for example, 4388216 + ... + 6730295.

It is an arithmetic number, because the mean of its divisors is an integer number (345680097336).

Almost surely, 2^{13020221121440} is an apocalyptic number.

13020221121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020221121440 is an abundant number, since it is smaller than the sum of its proper divisors (20165068222816).

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

13020221121440 is a wasteful number, since it uses less digits than its factorization.

13020221121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119102 (or 11119094 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13020221121440 its reverse (4412112202031), we get a palindrome (17432333323471).

The spelling of 13020221121440 in words is "thirteen trillion, twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, four hundred forty".