13130451455440 has 80 divisors (see below), whose sum is σ = 33306425484480. Its totient is φ = 4774304476160.

The previous prime is 13130451455423. The next prime is 13130451455441. The reversal of 13130451455440 is 4455415403131.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13130451455393 and 13130451455402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130451455441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9842271 + ... + 11096449.

It is an arithmetic number, because the mean of its divisors is an integer number (416330318556).

Almost surely, 2^{13130451455440} is an apocalyptic number.

13130451455440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130451455440 is an abundant number, since it is smaller than the sum of its proper divisors (20175974029040).

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

13130451455440 is a wasteful number, since it uses less digits than its factorization.

13130451455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266100 (or 1266094 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 13130451455440 its reverse (4455415403131), we get a palindrome (17585866858571).

The spelling of 13130451455440 in words is "thirteen trillion, one hundred thirty billion, four hundred fifty-one million, four hundred fifty-five thousand, four hundred forty".