213173056006300 has 144 divisors (see below), whose sum is σ = 515948693420160. Its totient is φ = 75907223562240.

The previous prime is 213173056006291. The next prime is 213173056006321. The reversal of 213173056006300 is 3600650371312.

It is a self number, because there is not a number n which added to its sum of digits gives 213173056006300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29009917 + ... + 35607883.

It is an arithmetic number, because the mean of its divisors is an integer number (3582977037640).

Almost surely, 2^{213173056006300} is an apocalyptic number.

213173056006300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213173056006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257974346710080).

213173056006300 is an abundant number, since it is smaller than the sum of its proper divisors (302775637413860).

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

213173056006300 is a wasteful number, since it uses less digits than its factorization.

213173056006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598880 (or 6598873 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 213173056006300 in words is "two hundred thirteen trillion, one hundred seventy-three billion, fifty-six million, six thousand, three hundred".