242133132033 has 64 divisors (see below), whose sum is σ = 398342810880. Its totient is φ = 144431299584.

The previous prime is 242133132023. The next prime is 242133132037. The reversal of 242133132033 is 330231331242.

242133132033 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 331 + 320 + 3 + 3 = 666.

It is not a de Polignac number, because 242133132033 - 2⁸ = 242133131777 is a prime.

It is a super-2 number, since 2×242133132033² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242133131988 and 242133132006.

It is not an unprimeable number, because it can be changed into a prime (242133132037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1465641 + ... + 1622457.

It is an arithmetic number, because the mean of its divisors is an integer number (6224106420).

Almost surely, 2^242133132033 is an apocalyptic number.

It is an amenable number.

242133132033 is a deficient number, since it is larger than the sum of its proper divisors (156209678847).

242133132033 is a wasteful number, since it uses less digits than its factorization.

242133132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156975 (or 156969 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 242133132033 its reverse (330231331242), we get a palindrome (572364463275).

The spelling of 242133132033 in words is "two hundred forty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-three".