213332120031100 has 144 divisors (see below), whose sum is σ = 533635493142528. Its totient is φ = 72512493730560.

The previous prime is 213332120031097. The next prime is 213332120031109. The reversal of 213332120031100 is 1130021233312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332120031109) 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 47 ways as a sum of consecutive naturals, for example, 46494789 + ... + 50876611.

It is an arithmetic number, because the mean of its divisors is an integer number (3705802035712).

Almost surely, 2^{213332120031100} is an apocalyptic number.

213332120031100 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 213332120031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266817746571264).

213332120031100 is an abundant number, since it is smaller than the sum of its proper divisors (320303373111428).

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

213332120031100 is a wasteful number, since it uses less digits than its factorization.

213332120031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382444 (or 4382437 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213332120031100 its reverse (1130021233312), we get a palindrome (214462141264412).

The spelling of 213332120031100 in words is "two hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty million, thirty-one thousand, one hundred".