13245303114144 has 144 divisors (see below), whose sum is σ = 38571700003200. Its totient is φ = 4310233095168.

The previous prime is 13245303114137. The next prime is 13245303114161. The reversal of 13245303114144 is 44141130354231.

13245303114144 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 530 + 3 + 114 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13245303114099 and 13245303114108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1245634 + ... + 5295489.

It is an arithmetic number, because the mean of its divisors is an integer number (267859027800).

Almost surely, 2^{13245303114144} is an apocalyptic number.

It is an amenable number.

13245303114144 is an abundant number, since it is smaller than the sum of its proper divisors (25326396889056).

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

13245303114144 is a wasteful number, since it uses less digits than its factorization.

13245303114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541307 (or 6541296 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13245303114144 its reverse (44141130354231), we get a palindrome (57386433468375).

The spelling of 13245303114144 in words is "thirteen trillion, two hundred forty-five billion, three hundred three million, one hundred fourteen thousand, one hundred forty-four".