213326101623312 has 60 divisors (see below), whose sum is σ = 632135433493980. Its totient is φ = 66925835802624.

The previous prime is 213326101623251. The next prime is 213326101623317.

213326101623312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 6 + 10 + 1 + 623 + 3 + 12 = 666.

213326101623312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 161660137710096 + 51665963913216 = 12714564^2 + 7187904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213326101623317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43571505237 + ... + 43571510132.

It is an arithmetic number, because the mean of its divisors is an integer number (10535590558233).

Almost surely, 2^{213326101623312} is an apocalyptic number.

It is an amenable number.

213326101623312 is an abundant number, since it is smaller than the sum of its proper divisors (418809331870668).

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

213326101623312 is a wasteful number, since it uses less digits than its factorization.

213326101623312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87143015400 (or 87143015391 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 21332610 and 1623312, that added together give a palindrome (22955922).

The spelling of 213326101623312 in words is "two hundred thirteen trillion, three hundred twenty-six billion, one hundred one million, six hundred twenty-three thousand, three hundred twelve".