42042133121 has 4 divisors (see below), whose sum is σ = 43067551044. Its totient is φ = 41016715200.

The previous prime is 42042133097. The next prime is 42042133157. The reversal of 42042133121 is 12133124024.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 19006482496 + 23035650625 = 137864^2 + 151775^2 .

It is a cyclic number.

It is not a de Polignac number, because 42042133121 - 2⁶ = 42042133057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42042133171) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512708900 + ... + 512708981.

It is an arithmetic number, because the mean of its divisors is an integer number (10766887761).

Almost surely, 2^42042133121 is an apocalyptic number.

42042133121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42042133121 is a deficient number, since it is larger than the sum of its proper divisors (1025417923).

42042133121 is a wasteful number, since it uses less digits than its factorization.

42042133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025417922.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 42042133121 its reverse (12133124024), we get a palindrome (54175257145).

The spelling of 42042133121 in words is "forty-two billion, forty-two million, one hundred thirty-three thousand, one hundred twenty-one".