42321314133 has 128 divisors (see below), whose sum is σ = 74724249600. Its totient is φ = 23176647936.

The previous prime is 42321314081. The next prime is 42321314141. The reversal of 42321314133 is 33141312324.

It is a happy number.

42321314133 is a `hidden beast` number, since 4 + 232 + 13 + 1 + 413 + 3 = 666.

It is not a de Polignac number, because 42321314133 - 2⁶ = 42321314069 is a prime.

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 = 42321314097 and 42321314106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321314183) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90623566 + ... + 90624032.

It is an arithmetic number, because the mean of its divisors is an integer number (583783200).

Almost surely, 2^42321314133 is an apocalyptic number.

It is an amenable number.

42321314133 is a deficient number, since it is larger than the sum of its proper divisors (32402935467).

42321314133 is a wasteful number, since it uses less digits than its factorization.

42321314133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42321314133 its reverse (33141312324), we get a palindrome (75462626457).

The spelling of 42321314133 in words is "forty-two billion, three hundred twenty-one million, three hundred fourteen thousand, one hundred thirty-three".