213123394559104 has 256 divisors, whose sum is σ = 460396986255360. Its totient is φ = 97981444915200.

The previous prime is 213123394559099. The next prime is 213123394559147. The reversal of 213123394559104 is 401955493321312.

It is a super-3 number, since 3×213123394559104³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11524534882 + ... + 11524553374.

It is an arithmetic number, because the mean of its divisors is an integer number (1798425727560).

Almost surely, 2^{213123394559104} 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 213123394559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230198493127680).

213123394559104 is an abundant number, since it is smaller than the sum of its proper divisors (247273591696256).

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

213123394559104 is a wasteful number, since it uses less digits than its factorization.

213123394559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19399 (or 19387 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The spelling of 213123394559104 in words is "two hundred thirteen trillion, one hundred twenty-three billion, three hundred ninety-four million, five hundred fifty-nine thousand, one hundred four".