213313363776 has 336 divisors, whose sum is σ = 679088157696. Its totient is φ = 63722668032.

The previous prime is 213313363763. The next prime is 213313363787. The reversal of 213313363776 is 677363313312.

213313363776 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 3 + 3 + 637 + 7 + 6 = 666.

213313363776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 17022025 + ... + 17034551.

Almost surely, 2^213313363776 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 213313363776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339544078848).

213313363776 is an abundant number, since it is smaller than the sum of its proper divisors (465774793920).

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

213313363776 is a wasteful number, since it uses less digits than its factorization.

213313363776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12633 counting only the distinct ones).

The product of its digits is 857304, while the sum is 45.

The spelling of 213313363776 in words is "two hundred thirteen billion, three hundred thirteen million, three hundred sixty-three thousand, seven hundred seventy-six".