213105695712 has 768 divisors, whose sum is σ = 746197401600. Its totient is φ = 52005058560.

The previous prime is 213105695687. The next prime is 213105695723. The reversal of 213105695712 is 217596501312.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1991641963 + ... + 1991642069.

It is an arithmetic number, because the mean of its divisors is an integer number (971611200).

Almost surely, 2^213105695712 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 213105695712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373098700800).

213105695712 is an abundant number, since it is smaller than the sum of its proper divisors (533091705888).

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

213105695712 is a wasteful number, since it uses less digits than its factorization.

213105695712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 213105695712 in words is "two hundred thirteen billion, one hundred five million, six hundred ninety-five thousand, seven hundred twelve".