242414331332013 has 48 divisors (see below), whose sum is σ = 365157888536896. Its totient is φ = 154821501204480.

The previous prime is 242414331331981. The next prime is 242414331332021. The reversal of 242414331332013 is 310233133414242.

242414331332013 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 1 + 4 + 3 + 313 + 320 + 13 = 666.

It is not a de Polignac number, because 242414331332013 - 2⁵ = 242414331331981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414331332083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44572098 + ... + 49714188.

Almost surely, 2^{242414331332013} is an apocalyptic number.

It is an amenable number.

242414331332013 is a deficient number, since it is larger than the sum of its proper divisors (122743557204883).

242414331332013 is a wasteful number, since it uses less digits than its factorization.

242414331332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144314 (or 5144311 counting only the distinct ones).

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

Adding to 242414331332013 its reverse (310233133414242), we get a palindrome (552647464746255).

The spelling of 242414331332013 in words is "two hundred forty-two trillion, four hundred fourteen billion, three hundred thirty-one million, three hundred thirty-two thousand, thirteen".