73300132444133 has 16 divisors (see below), whose sum is σ = 83808159373440. Its totient is φ = 62801255400000.

The previous prime is 73300132444111. The next prime is 73300132444157. The reversal of 73300132444133 is 33144423100337.

It is a cyclic number.

It is not a de Polignac number, because 73300132444133 - 2⁸ = 73300132443877 is a prime.

It is a super-2 number, since 2×73300132444133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73300132344133) 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 15 ways as a sum of consecutive naturals, for example, 179599223 + ... + 180006891.

It is an arithmetic number, because the mean of its divisors is an integer number (5238009960840).

Almost surely, 2^{73300132444133} is an apocalyptic number.

It is an amenable number.

73300132444133 is a deficient number, since it is larger than the sum of its proper divisors (10508026929307).

73300132444133 is a wasteful number, since it uses less digits than its factorization.

73300132444133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418828.

The product of its (nonzero) digits is 217728, while the sum is 38.

The spelling of 73300132444133 in words is "seventy-three trillion, three hundred billion, one hundred thirty-two million, four hundred forty-four thousand, one hundred thirty-three".