133004141314330 has 256 divisors, whose sum is σ = 308610001244160. Its totient is φ = 40504865587200.

The previous prime is 133004141314327. The next prime is 133004141314349. The reversal of 133004141314330 is 33413141400331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 133004141314292 and 133004141314301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193334406 + ... + 194021134.

It is an arithmetic number, because the mean of its divisors is an integer number (1205507817360).

Almost surely, 2^{133004141314330} is an apocalyptic number.

133004141314330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133004141314330 is an abundant number, since it is smaller than the sum of its proper divisors (175605859929830).

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

133004141314330 is a wasteful number, since it uses less digits than its factorization.

133004141314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687065.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 133004141314330 its reverse (33413141400331), we get a palindrome (166417282714661).

The spelling of 133004141314330 in words is "one hundred thirty-three trillion, four billion, one hundred forty-one million, three hundred fourteen thousand, three hundred thirty".