13331144034001 has 8 divisors (see below), whose sum is σ = 13444173941760. Its totient is φ = 13218240068208.

The previous prime is 13331144033983. The next prime is 13331144034011. The reversal of 13331144034001 is 10043044113331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331144034001 - 2⁴³ = 4535051011793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331144034011) 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, 31272886 + ... + 31696303.

It is an arithmetic number, because the mean of its divisors is an integer number (1680521742720).

Almost surely, 2^{13331144034001} is an apocalyptic number.

It is an amenable number.

13331144034001 is a deficient number, since it is larger than the sum of its proper divisors (113029907759).

13331144034001 is a wasteful number, since it uses less digits than its factorization.

13331144034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62970983.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13331144034001 its reverse (10043044113331), we get a palindrome (23374188147332).

The spelling of 13331144034001 in words is "thirteen trillion, three hundred thirty-one billion, one hundred forty-four million, thirty-four thousand, one".