242133130101144 has 128 divisors (see below), whose sum is σ = 620587778342400. Its totient is φ = 78684225715200.

The previous prime is 242133130101143. The next prime is 242133130101193. The reversal of 242133130101144 is 441101031331242.

It is a super-2 number, since 2×242133130101144² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133130101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752248869 + ... + 4752299819.

It is an arithmetic number, because the mean of its divisors is an integer number (4848342018300).

Almost surely, 2^{242133130101144} is an apocalyptic number.

242133130101144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242133130101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310293889171200).

242133130101144 is an abundant number, since it is smaller than the sum of its proper divisors (378454648241256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242133130101144 is a wasteful number, since it uses less digits than its factorization.

242133130101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59665 (or 59661 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 242133130101144 its reverse (441101031331242), we get a palindrome (683234161432386).

The spelling of 242133130101144 in words is "two hundred forty-two trillion, one hundred thirty-three billion, one hundred thirty million, one hundred one thousand, one hundred forty-four".