144312041030013 has 80 divisors (see below), whose sum is σ = 235351857312000. Its totient is φ = 87775299416448.

The previous prime is 144312041030011. The next prime is 144312041030023. The reversal of 144312041030013 is 310030140213441.

144312041030013 is a `hidden beast` number, since 1 + 4 + 4 + 312 + 0 + 41 + 0 + 300 + 1 + 3 = 666.

It is not a de Polignac number, because 144312041030013 - 2¹ = 144312041030011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312041030011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13205356 + ... + 21517562.

It is an arithmetic number, because the mean of its divisors is an integer number (2941898216400).

Almost surely, 2^{144312041030013} is an apocalyptic number.

It is an amenable number.

144312041030013 is a deficient number, since it is larger than the sum of its proper divisors (91039816281987).

144312041030013 is a wasteful number, since it uses less digits than its factorization.

144312041030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312656 (or 8312647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 144312041030013 its reverse (310030140213441), we get a palindrome (454342181243454).

The spelling of 144312041030013 in words is "one hundred forty-four trillion, three hundred twelve billion, forty-one million, thirty thousand, thirteen".