213163363361312 has 384 divisors, whose sum is σ = 531436538400768. Its totient is φ = 81932539392000.

The previous prime is 213163363361257. The next prime is 213163363361329.

213163363361312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213163363361312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5182526987 + ... + 5182568117.

It is an arithmetic number, because the mean of its divisors is an integer number (1383949318752).

Almost surely, 2^{213163363361312} 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 213163363361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265718269200384).

213163363361312 is an abundant number, since it is smaller than the sum of its proper divisors (318273175039456).

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

213163363361312 is a wasteful number, since it uses less digits than its factorization.

213163363361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41592 (or 41584 counting only the distinct ones).

The product of its digits is 629856, while the sum is 44.

The spelling of 213163363361312 in words is "two hundred thirteen trillion, one hundred sixty-three billion, three hundred sixty-three million, three hundred sixty-one thousand, three hundred twelve".