13503401105145 has 128 divisors (see below), whose sum is σ = 25041042432000. Its totient is φ = 6086270361600.

The previous prime is 13503401105107. The next prime is 13503401105149. The reversal of 13503401105145 is 54150110430531.

It is a happy number.

It is not a de Polignac number, because 13503401105145 - 2¹³ = 13503401096953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13503401105149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3270378441 + ... + 3270382569.

It is an arithmetic number, because the mean of its divisors is an integer number (195633144000).

Almost surely, 2^{13503401105145} is an apocalyptic number.

13503401105145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13503401105145 is a deficient number, since it is larger than the sum of its proper divisors (11537641326855).

13503401105145 is a wasteful number, since it uses less digits than its factorization.

13503401105145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463.

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 13503401105145 its reverse (54150110430531), we get a palindrome (67653511535676).

The spelling of 13503401105145 in words is "thirteen trillion, five hundred three billion, four hundred one million, one hundred five thousand, one hundred forty-five".