13410513455120 has 80 divisors (see below), whose sum is σ = 31218722112000. Its totient is φ = 5357449880064.

The previous prime is 13410513455081. The next prime is 13410513455123. The reversal of 13410513455120 is 2155431501431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13410513455120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13410513455123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570429926 + ... + 570453434.

It is an arithmetic number, because the mean of its divisors is an integer number (390234026400).

Almost surely, 2^{13410513455120} is an apocalyptic number.

13410513455120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13410513455120 is an abundant number, since it is smaller than the sum of its proper divisors (17808208656880).

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

13410513455120 is a wasteful number, since it uses less digits than its factorization.

13410513455120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32200 (or 32194 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 13410513455120 its reverse (2155431501431), we get a palindrome (15565944956551).

The spelling of 13410513455120 in words is "thirteen trillion, four hundred ten billion, five hundred thirteen million, four hundred fifty-five thousand, one hundred twenty".