242132112312133 has 16 divisors (see below), whose sum is σ = 253468091289600. Its totient is φ = 230998811218560.

The previous prime is 242132112312113. The next prime is 242132112312163. The reversal of 242132112312133 is 331213211231242.

242132112312133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-242132112312133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242132112312095 and 242132112312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242132112312113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28090941 + ... + 35684242.

It is an arithmetic number, because the mean of its divisors is an integer number (15841755705600).

Almost surely, 2^{242132112312133} is an apocalyptic number.

It is an amenable number.

242132112312133 is a deficient number, since it is larger than the sum of its proper divisors (11335978977467).

242132112312133 is a wasteful number, since it uses less digits than its factorization.

242132112312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63776772.

The product of its digits is 10368, while the sum is 31.

Adding to 242132112312133 its reverse (331213211231242), we get a palindrome (573345323543375).

The spelling of 242132112312133 in words is "two hundred forty-two trillion, one hundred thirty-two billion, one hundred twelve million, three hundred twelve thousand, one hundred thirty-three".