13001310440440 has 32 divisors (see below), whose sum is σ = 33431941133280. Its totient is φ = 4457592150912.

The previous prime is 13001310440407. The next prime is 13001310440449. The reversal of 13001310440440 is 4404401310031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001310440449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23216625507 + ... + 23216626066.

It is an arithmetic number, because the mean of its divisors is an integer number (1044748160415).

Almost surely, 2^{13001310440440} is an apocalyptic number.

13001310440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001310440440 is an abundant number, since it is smaller than the sum of its proper divisors (20430630692840).

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

13001310440440 is a wasteful number, since it uses less digits than its factorization.

13001310440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46433251591 (or 46433251587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13001310440440 its reverse (4404401310031), we get a palindrome (17405711750471).

The spelling of 13001310440440 in words is "thirteen trillion, one billion, three hundred ten million, four hundred forty thousand, four hundred forty".