213434222434312 has 48 divisors (see below), whose sum is σ = 444232570401900. Its totient is φ = 96055005552000.

The previous prime is 213434222434271. The next prime is 213434222434333.

213434222434312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 211907005964676 + 1527216469636 = 14557026^2 + 1235806^2 .

It is a super-2 number, since 2×213434222434312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091436387 + ... + 1091631922.

Almost surely, 2^{213434222434312} is an apocalyptic number.

213434222434312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213434222434312 is an abundant number, since it is smaller than the sum of its proper divisors (230798347967588).

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

213434222434312 is a wasteful number, since it uses less digits than its factorization.

213434222434312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183068438 (or 2183068423 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 213434222434312 in words is "two hundred thirteen trillion, four hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-four thousand, three hundred twelve".