13130514531440 has 40 divisors (see below), whose sum is σ = 31353539435520. Its totient is φ = 5110254302976.

The previous prime is 13130514531413. The next prime is 13130514531443. The reversal of 13130514531440 is 4413541503131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 13130514531440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130514531443) 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 7 ways as a sum of consecutive naturals, for example, 2217989360 + ... + 2217995279.

It is an arithmetic number, because the mean of its divisors is an integer number (783838485888).

Almost surely, 2^{13130514531440} is an apocalyptic number.

13130514531440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130514531440 is an abundant number, since it is smaller than the sum of its proper divisors (18223024904080).

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

13130514531440 is a wasteful number, since it uses less digits than its factorization.

13130514531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435984689 (or 4435984683 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13130514531440 in words is "thirteen trillion, one hundred thirty billion, five hundred fourteen million, five hundred thirty-one thousand, four hundred forty".