213166661312 has 112 divisors (see below), whose sum is σ = 478155121920. Its totient is φ = 93398860800.

The previous prime is 213166661311. The next prime is 213166661321.

213166661312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213166661312² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213166661311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12874223 + ... + 12890769.

It is an arithmetic number, because the mean of its divisors is an integer number (4269242160).

Almost surely, 2^213166661312 is an apocalyptic number.

213166661312 is a gapful number since it is divisible by the number (22) 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 213166661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239077560960).

213166661312 is an abundant number, since it is smaller than the sum of its proper divisors (264988460608).

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

213166661312 is a wasteful number, since it uses less digits than its factorization.

213166661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17220 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

It can be divided in two parts, 213166 and 661312, that added together give a palindrome (874478).

The spelling of 213166661312 in words is "two hundred thirteen billion, one hundred sixty-six million, six hundred sixty-one thousand, three hundred twelve".