242134201310001 has 576 divisors, whose sum is σ = 482288235577344. Its totient is φ = 106119930470400.

The previous prime is 242134201309999. The next prime is 242134201310087. The reversal of 242134201310001 is 100013102431242.

It is not a de Polignac number, because 242134201310001 - 2¹ = 242134201309999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242134201310501) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 222754554480 + ... + 222754555566.

It is an arithmetic number, because the mean of its divisors is an integer number (837305964544).

Almost surely, 2^{242134201310001} is an apocalyptic number.

242134201310001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242134201310001 is a deficient number, since it is larger than the sum of its proper divisors (240154034267343).

242134201310001 is a wasteful number, since it uses less digits than its factorization.

242134201310001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 242134201310001 its reverse (100013102431242), we get a palindrome (342147303741243).

The spelling of 242134201310001 in words is "two hundred forty-two trillion, one hundred thirty-four billion, two hundred one million, three hundred ten thousand, one".