13301121201140 has 24 divisors (see below), whose sum is σ = 27933217647720. Its totient is φ = 5320284075648.

The previous prime is 13301121201139. The next prime is 13301121201163. The reversal of 13301121201140 is 4110212110331.

13301121201140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6765970917904 + 6535150283236 = 2601148^2 + 2556394^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9610835 + ... + 10907354.

It is an arithmetic number, because the mean of its divisors is an integer number (1163884068655).

Almost surely, 2^{13301121201140} is an apocalyptic number.

13301121201140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301121201140 is an abundant number, since it is smaller than the sum of its proper divisors (14632096446580).

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

13301121201140 is a wasteful number, since it uses less digits than its factorization.

13301121201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20550611 (or 20550609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13301121201140 its reverse (4110212110331), we get a palindrome (17411333311471).

The spelling of 13301121201140 in words is "thirteen trillion, three hundred one billion, one hundred twenty-one million, two hundred one thousand, one hundred forty".