213165343561312 has 24 divisors (see below), whose sum is σ = 426782308617000. Its totient is φ = 104776185817344.

The previous prime is 213165343561273. The next prime is 213165343561319.

213165343561312 is nontrivially palindromic in base 10.

213165343561312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213165343561312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213165343561319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56452684437 + ... + 56452688212.

It is an arithmetic number, because the mean of its divisors is an integer number (17782596192375).

Almost surely, 2^{213165343561312} is an apocalyptic number.

It is an amenable number.

213165343561312 is an abundant number, since it is smaller than the sum of its proper divisors (213616965055688).

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

213165343561312 is a wasteful number, since it uses less digits than its factorization.

213165343561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112905372718 (or 112905372710 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 46.

The spelling of 213165343561312 in words is "two hundred thirteen trillion, one hundred sixty-five billion, three hundred forty-three million, five hundred sixty-one thousand, three hundred twelve".