133014212320041 has 72 divisors (see below), whose sum is σ = 208307149157016. Its totient is φ = 81752933283840.

The previous prime is 133014212320039. The next prime is 133014212320069. The reversal of 133014212320041 is 140023212410331.

133014212320041 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 421 + 232 + 0 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 108271745647641 + 24742466672400 = 10405371^2 + 4974180^2 .

It is not a de Polignac number, because 133014212320041 - 2¹ = 133014212320039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133014212319987 and 133014212320014.

It is not an unprimeable number, because it can be changed into a prime (133014212320541) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 7350060705 + ... + 7350078801.

It is an arithmetic number, because the mean of its divisors is an integer number (2893154849403).

Almost surely, 2^{133014212320041} is an apocalyptic number.

It is an amenable number.

133014212320041 is a deficient number, since it is larger than the sum of its proper divisors (75292936836975).

133014212320041 is a wasteful number, since it uses less digits than its factorization.

133014212320041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23883 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133014212320041 its reverse (140023212410331), we get a palindrome (273037424730372).

The spelling of 133014212320041 in words is "one hundred thirty-three trillion, fourteen billion, two hundred twelve million, three hundred twenty thousand, forty-one".