13520012110040 has 256 divisors, whose sum is σ = 33021138585600. Its totient is φ = 4969198080000.

The previous prime is 13520012110021. The next prime is 13520012110067. The reversal of 13520012110040 is 4001121002531.

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

It is a junction number, because it is equal to n+sod(n) for n = 13520012109994 and 13520012110021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603318356 + ... + 603340764.

It is an arithmetic number, because the mean of its divisors is an integer number (128988822600).

Almost surely, 2^{13520012110040} is an apocalyptic number.

13520012110040 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 13520012110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510569292800).

13520012110040 is an abundant number, since it is smaller than the sum of its proper divisors (19501126475560).

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

13520012110040 is a wasteful number, since it uses less digits than its factorization.

13520012110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22738 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 13520012110040 its reverse (4001121002531), we get a palindrome (17521133112571).

The spelling of 13520012110040 in words is "thirteen trillion, five hundred twenty billion, twelve million, one hundred ten thousand, forty".