133042342321000 has 128 divisors (see below), whose sum is σ = 360079902524160. Its totient is φ = 45064944672000.

The previous prime is 133042342320961. The next prime is 133042342321003. The reversal of 133042342321000 is 123243240331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 133042342321000.

It is not an unprimeable number, because it can be changed into a prime (133042342321003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113913271 + ... + 115075270.

It is an arithmetic number, because the mean of its divisors is an integer number (2813124238470).

Almost surely, 2^{133042342321000} is an apocalyptic number.

133042342321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133042342321000 is an abundant number, since it is smaller than the sum of its proper divisors (227037560203160).

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

133042342321000 is a wasteful number, since it uses less digits than its factorization.

133042342321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228988652 (or 228988638 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133042342321000 its reverse (123243240331), we get a palindrome (133165585561331).

The spelling of 133042342321000 in words is "one hundred thirty-three trillion, forty-two billion, three hundred forty-two million, three hundred twenty-one thousand".