133013220123096 has 96 divisors (see below), whose sum is σ = 364037163409920. Its totient is φ = 43871605560000.

The previous prime is 133013220123073. The next prime is 133013220123137. The reversal of 133013220123096 is 690321022310331.

133013220123096 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 132 + 201 + 230 + 96 = 666.

133013220123096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133013220123096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843971 + ... + 16414221.

It is an arithmetic number, because the mean of its divisors is an integer number (3792053785520).

Almost surely, 2^{133013220123096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133013220123096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182018581704960).

133013220123096 is an abundant number, since it is smaller than the sum of its proper divisors (231023943286824).

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

133013220123096 is a wasteful number, since it uses less digits than its factorization.

133013220123096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14571597 (or 14571590 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 133013220123096 in words is "one hundred thirty-three trillion, thirteen billion, two hundred twenty million, one hundred twenty-three thousand, ninety-six".