144023313434013 has 96 divisors (see below), whose sum is σ = 238607460000000. Its totient is φ = 83066828866560.

The previous prime is 144023313433843. The next prime is 144023313434027. The reversal of 144023313434013 is 310434313320441.

144023313434013 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 233 + 13 + 4 + 3 + 401 + 3 = 666.

It is not a de Polignac number, because 144023313434013 - 2¹⁰ = 144023313432989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144023313434053) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25082238 + ... + 30284736.

It is an arithmetic number, because the mean of its divisors is an integer number (2485494375000).

Almost surely, 2^{144023313434013} is an apocalyptic number.

144023313434013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144023313434013 is a deficient number, since it is larger than the sum of its proper divisors (94584146565987).

144023313434013 is a wasteful number, since it uses less digits than its factorization.

144023313434013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202787 (or 5202784 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 144023313434013 its reverse (310434313320441), we get a palindrome (454457626754454).

The spelling of 144023313434013 in words is "one hundred forty-four trillion, twenty-three billion, three hundred thirteen million, four hundred thirty-four thousand, thirteen".