133624316616001 has 16 divisors (see below), whose sum is σ = 137537048194560. Its totient is φ = 129743131605120.

The previous prime is 133624316615929. The next prime is 133624316616029. The reversal of 133624316616001 is 100616613426331.

It is a cyclic number.

It is not a de Polignac number, because 133624316616001 - 2³⁷ = 133486877662529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133624316616061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22665535 + ... + 27945931.

It is an arithmetic number, because the mean of its divisors is an integer number (8596065512160).

Almost surely, 2^{133624316616001} is an apocalyptic number.

It is an amenable number.

133624316616001 is a deficient number, since it is larger than the sum of its proper divisors (3912731578559).

133624316616001 is a wasteful number, since it uses less digits than its factorization.

133624316616001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283384.

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 133624316616001 in words is "one hundred thirty-three trillion, six hundred twenty-four billion, three hundred sixteen million, six hundred sixteen thousand, one".