242133412311 has 12 divisors (see below), whose sum is σ = 399712299792. Its totient is φ = 138361949856.

The previous prime is 242133412289. The next prime is 242133412331. The reversal of 242133412311 is 113214331242.

242133412311 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 3 + 341 + 2 + 311 = 666.

It is not a de Polignac number, because 242133412311 - 2⁶ = 242133412247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133412331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1921693686 + ... + 1921693811.

It is an arithmetic number, because the mean of its divisors is an integer number (33309358316).

Almost surely, 2^242133412311 is an apocalyptic number.

242133412311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242133412311 is a deficient number, since it is larger than the sum of its proper divisors (157578887481).

242133412311 is a wasteful number, since it uses less digits than its factorization.

242133412311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843387510 (or 3843387507 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 242133412311 its reverse (113214331242), we get a palindrome (355347743553).

The spelling of 242133412311 in words is "two hundred forty-two billion, one hundred thirty-three million, four hundred twelve thousand, three hundred eleven".