13144353114032 has 60 divisors (see below), whose sum is σ = 29625656928120. Its totient is φ = 5633186727168.

The previous prime is 13144353113993. The next prime is 13144353114047. The reversal of 13144353114032 is 23041135344131.

It is a junction number, because it is equal to n+sod(n) for n = 13144353113983 and 13144353114001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51669644 + ... + 51923412.

It is an arithmetic number, because the mean of its divisors is an integer number (493760948802).

Almost surely, 2^{13144353114032} is an apocalyptic number.

It is an amenable number.

13144353114032 is an abundant number, since it is smaller than the sum of its proper divisors (16481303814088).

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

13144353114032 is a wasteful number, since it uses less digits than its factorization.

13144353114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319858 (or 319845 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 13144353114032 its reverse (23041135344131), we get a palindrome (36185488458163).

The spelling of 13144353114032 in words is "thirteen trillion, one hundred forty-four billion, three hundred fifty-three million, one hundred fourteen thousand, thirty-two".