133430413403322 has 384 divisors, whose sum is σ = 352818847180800. Its totient is φ = 37006342753536.

The previous prime is 133430413403311. The next prime is 133430413403359. The reversal of 133430413403322 is 223304314034331.

133430413403322 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 304 + 1 + 340 + 3 + 3 + 2 + 2 = 666.

It is a super-2 number, since 2×133430413403322² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 14523824013 + ... + 14523833199.

It is an arithmetic number, because the mean of its divisors is an integer number (918799081200).

Almost surely, 2^{133430413403322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133430413403322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176409423590400).

133430413403322 is an abundant number, since it is smaller than the sum of its proper divisors (219388433777478).

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

133430413403322 is a wasteful number, since it uses less digits than its factorization.

133430413403322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10112 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 133430413403322 its reverse (223304314034331), we get a palindrome (356734727437653).

The spelling of 133430413403322 in words is "one hundred thirty-three trillion, four hundred thirty billion, four hundred thirteen million, four hundred three thousand, three hundred twenty-two".